Finding Aid to the William Arveson papers, 1939-2013 (bulk 1965-2007)

Bancroft Library Staff
The Bancroft Library
University of California, Berkeley
Berkeley, CA 94720-6000
Phone: (510) 642-6481
Fax: (510) 642-7589
Email: bancref@library.berkeley.edu
URL: http://bancroft.berkeley.edu/
© September 11, 2013
The Regents of the University of California. All rights reserved.

Finding Aid to the William Arveson papers, 1939-2013 (bulk 1965-2007)

Collection number: BANC MSS 2012/140

The Bancroft Library

University of California, Berkeley
Berkeley, CA 94720-6000
Phone: (510) 642-6481
Fax: (510) 642-7589
Email: bancref@library.berkeley.edu
URL: http://bancroft.berkeley.edu/
Finding Aid Author(s):
Bancroft Library Staff
Date Completed:
September 11, 2013
Finding Aid Encoded By:
GenX
© 2013 The Regents of the University of California. All rights reserved.

Collection Summary

Collection Title: William Arveson papers
Date (inclusive): 1939-2013
Date (bulk): 1965-2007
Collection Number: BANC MSS 2012/140
Creator: Arveson, William
Extent: 9 cartons 11.25 linear ft.
Repository: The Bancroft Library.
University of California, Berkeley
Berkeley, CA 94720-6000
Phone: (510) 642-6481
Fax: (510) 642-7589
Email: bancref@library.berkeley.edu
URL: http://bancroft.berkeley.edu/
Abstract: The William Arveson papers document his career as a faculty member in the Department of Mathematics at the University of California, Berkeley from 1969 to 2011. Professor Arveson was a leading expert and original researcher in the theory of operators and operator algebras, areas with close ties to physics, especially to quantum theory. The collection is arranged into eight series: Correspondence, Writings, Lectures and Seminars, Teaching Materials (including UCLA, Harvard and UCB), UCB Departmental Files, Professional Files, Research Files, and Biographical Materials.
Languages Represented: Collection materials are in English

Information for Researchers

Access Information

Collection is open for research.

Preferred Citation

[Identification of item], William Arveson Papers, BANC MSS 2012/140, The Bancroft Library, University of California, Berkeley

Alternative Form of Materials Available

There are no alternate forms of this collection.

Removed or Separated Material

Digital material transferred to Bancroft Digital Collections.

Indexing Terms

The following terms have been used to index the description of this collection in the library's online public access catalog
Arveson, William--Archives
University of California, Berkeley. Department of Mathematics.
Mathematicians -- United States.
Mathematics -- Research.
Mathematics -- Study and teaching.
University of California, Berkeley -- Faculty.
Faculty papers.

Administrative Information

The William Arveson papers were donated to the Library by Lee Ann Kaskutas on April 24, 2012. Additional materials were received on June 14, 2012.
No additions are expected.

Processing Information

Processed by Bancroft Library staff in 2013.

Biography/Organization History

William Barnes Arveson was born in Oakland, California on November 22, 1934. His parents divorced when he was just a year old and moved separately to Southern California, leaving Arveson in Oakland in the care of his maternal grandmother. Arveson's mother remarried when he was in high school, at which point he moved to San Gabriel, California where he attended Alhambra High, graduating in 1952.
After high school Arveson enlisted in the U.S. Navy. He scored very highly on the Navy’s placement test, giving him his choice of naval jobs. He chose to study radar technology. After training he spent three years on an aircraft carrier in the Pacific as the carrier’s repairman. At the end of his naval service Arveson was encouraged to make a career of the Navy. He decided instead to go to college.
After two years at Pasadena City College, Arveson transferred to the California Institute of Technology. He graduated from CalTech with a B.S. in Mathematics in 1960, whereupon he entered the graduate mathematics program at the University of California, Los Angeles. He earned his M.A. in 1963 and his Ph.D. in 1964. While at UCLA, Arveson maintained his navy connection serving as a Mathematician G7 in 1960-1961 and as a Mathematician G12 in fall 1965 at the Naval Undersea Research and Development Center in Pasadena, California.
After receiving his Ph.D. in the fall of 1964, Arveson stayed at UCLA in spring 1965 as an Acting Assistant Professor. In the period 1965-1968 he served as a Benjamin Pierce Instructor at Harvard University. The University of California, Berkeley, hired Arveson as a Lecturer in Mathematics in 1968 but quickly promoted him to Associate Professor in 1969 and then to Professor in 1974. Arveson became Emeritus Professor upon his retirement in 2003.
Professor Arveson had visiting positions in the US and world-wide, including UCLA, UCSD, Pennsylvania, Newcastle (UK), Aarhus (Denmark), Oslo and Trondheim (Norway), Stockholm, Tel Aviv, Canberra, Rio de Janeiro, Tianjin (China), and Kyoto. He also received two Miller research professor awards at Berkeley. Arveson strongly inspired and influenced many researchers through his teaching, writing, and lecturing. An elegant expositor who took great care with his writing, he published 79 scholarly manuscripts and authored eight books on C*-algebras, operator algebras, spectral theory, and noncommutative dynamics. His editorial services included the Bulletin of the American Mathematical Society, Proceedings of the Edinburgh Mathematical Society, Duke Mathematical Journal, and three decades as Editor of the Journal of Operator Theory (Romania).
Arveson was committed to the mentorship of young mathematicians, of whom 29 wrote their doctoral dissertations under his guidance. Many of them went on to be prominent research mathematicians in their own right. Arveson was a leading expert and a highly innovative researcher in the area of operator algebras spearheaded by the famous John Von Neumann, an area of mathematics that underlies quantum physics and can be traced back to Heisenberg's formulation of quantum mechanics. Arveson pioneered the exploration of certain mysterious structures that arise in a basic way from the modeling of the irreversible dynamics of quantum systems, for example, the creation and annihilation of particles such as electrons and the strange particles found in cosmic rays. In the 1990's he opened a new front in his research with highly original ideas for applying seemingly unrelated abstract mathematics to the efficient calculation of important quantities in quantum physics. Arveson's important contributions continued to flow and began to include applications of quantum spaces to quantum information theory and quantum computing.
Arveson loved jazz and taught himself to play the saxophone while serving on an aircraft carrier. He also loved the movies and went to a matinee every Sunday. Arveson and his wife, Lee Ann were aficionados of miniature dachshunds and they enjoyed taking their dogs with them on holidays to Sea Ranch.
At the time of his death, he was survived by his wife of 26 years, Lee Ann Kaskutas, by his sons Jeff and Robert from a previous marriage, and by his miniature dachshund Bronco.
Derived from an obituary appearing in the San Francisco Chronicle (November 27, 2011), as well as the University of California Academic Senate “In Memoriam” essay for Professor Arveson (2012).

Scope and Content Note

William Barnes Arveson served as a faculty member in the Department of Mathematics at the University of California, Berkeley from 1969 to 2011. Professor Arveson was a leading expert and original researcher in the theory of operators and operator algebras, areas with close ties to physics, especially to quantum theory.
The collection is arranged into eight series: Correspondence, Writings, Lectures and Seminars, Teaching Materials (including UCLA, Harvard and UCB), UCB Departmental Files, Professional Files, Research Files, and Biographical Materials.
Correspondence contains letters to and from notable mathematicians from academic institutions nationally and internationally; correspondents include Niels T. Andersen, Constantin Apostol, Earl Berkson, Rajendra Bhatia, John Bunce, Brian Col, Joaquin Curiel, Art G. Duncan, Paul Halmos, Richard Kadison, Jitka Křížková, Zeller Meier, Wlodzimierz Mlak, Pete Rosenthal, Cedwin F. Schubert, Allen Shields, Erling Stormer, Anthony C. Thompson and Dan Voiculescu. In addition, there are letters from personal friends, including Patricia and Darrin Smith and Ziva and Morry Zippin.
Writings include the complete published papers of Professor Arveson, starting in 1966 with “A theorem on the action of abelian unitary groups” and concluding in 2011 with “Helson and subdiagonal operator algebras” in a tribute to Henry Helson. This series also includes the various unpublished papers of Professor Arveson.
Lectures and Seminars include transcripts of talks Arveson delivered at academic institutions around the world--in England, China, France, Norway, Italy, Israel, Japan, Denmark, among other locales--as well as throughout the United States. These talks reveal Professor Arveson’s leading authority in the area of operator theory research. This series is well represented by detailed mathematical notations used by Professor Arveson for each of these various lectures.
Teaching Materials include comprehensive lecture notes for UCLA (1965), Harvard (1965-1968) and UC Berkeley (1968-2011).
UCB Departmental files contain administrative information such as qualifying exams, admissions, personnel committee notes, teaching evaluations and information on international exchange scholars. Professor Arveson acted in the role of faculty associate, supporting such international exchange scholars as Rajendra Bhatia of India.
Professional Files contain requests from the American Mathematical Society to Professor Arveson to arrange special sessions and give lectures and presentations on operator theory. Also documented are the annual joint Summer Research Conferences put on by the American Mathematical Society (AMS), the Institute of Mathematical Statistics (IMS) and the Society for Industrial and Applied Mathematics (SIAM).
In addition, Professional Files contain publishing and royalties’ information, as well as grants and fellowships awarded to Professor Arveson by the Guggenheim Memorial Foundation, the Miller Institute for Basic Research in Science and the National Science Foundation. Professor Arveson was the principal investigator for grants from the National Science Foundation during most of his career at Berkeley. Arveson served as National Research Council Research Fellow in 1971 at the University of Newcastle, England. He served as a Visiting Professor at Aarhus University in Denmark during 1973-1974, and at the University of California, San Diego in 1974-1975. He won a Guggenheim Fellowship for 1976-1977, and in 1985-1986 and 1999-2000 he held a prestigious Miller Professorship at the University of California, Berkeley.
Professor Arveson served the mathematics community as editor of several major journals. His positions included Principal Editor of the Journal of Operator Theory, Consulting Editor of the Journal of the Edinburgh Mathematical Society, Associate Editor of the Bulletin of the American Mathematical Society, and Associate Editor of the Duke Mathematical Journal. He also served a term as treasurer of the Pacific Journal of Mathematics.
The Research files are quite extensive and wide-ranging, dating from 1974 to 2006. Professor Arveson’s primary interests were in functional analysis and operator algebras, as spearheaded by the famous John Von Neumann. The basic theory of two classes of such algebras, called C*- algebras and Von Neumann algebras both possess a property called self-adjointness. Professor Arveson set out to develop a theory of such algebras, and much of his early work focused on this project establishing him as a world leader in this area.
Biographical materials include Professor Arveson’s curriculum vitae, his dissertation titled “Prediction Theory and Group Representations” (1964), biographical sketches, memorial essays, and a photograph album beginning with Professor Arveson as a young boy in Oakland in 1939, progressing through his life as a professor and lecturer. The last photographs date from 2007.

Container Listing

 

Series 1 Correspondence 1967-2000

Physical Description: carton 1, folder 1-166

Scope and Content Note

Correspondence contains letters to and from notable mathematicians from academic institutions nationally and internationally; correspondents include Niels T. Andersen, Constantin Apostol, Earl Berkson, Rajendra Bhatia, John Bunce, Brian Col, Joaquin Curiel, Art G. Duncan, Paul Halmos, Richard Kadison, Jitka Křížková, Zeller Meier, Wlodzimierz Mlak, Pete Rosenthal, Cedwin F. Schubert, Allen Shields, Erling Stormer, Anthony C. Thompson and Dan Voiculescu. In addition, there are letters from personal friends, including Patricia and Darrin Smith and Ziva and Morry Zippin.
carton 1, folder 1

Abrahamse, M. B., 1972

carton 1, file 2

Addison, John W., 1972

carton 1, folder 3

Andersen, N. T., 1978-1980

carton 1, folder 4

Apostal, Constantin, 1974-1984

carton 1, folder 5

Arsene, Grigore, 1972

carton 1, file 6

Atzmon, Aharon, 1972

carton 1, file 7

Auslander, Joe, 1972

carton 1, folder 8

Bartle, Robert G., 1978

carton 1, folder 9

Belinfante, Johan G. F., 1972

carton 1, folder 10

Berg, I. David, 1993

carton 1, folder 11

Berkson, Earl, 1970-1972

carton 1, folder 12

Bhatia, Rajendra, 1980

carton 1, folder 13

Birkhoff, Garrett, 1971-1972

carton 1, folder 14

Blackadar, Bruce E., 1981

carton 1, folder 15

Blattner, Bob, 1972-1989

carton 1, folder 16

Briggs, Anna, 1972

carton 1, folder 17

Brougham, Leonard, 1971

carton 1, folder 18

Brown, Larry, 1975

carton 1, folder 19

Brunk, H. Dan, 1975

carton 1, folder 20

Bouldin, Richard, 1970

carton 1, folder 21

Bowker, Albert, 1974

carton 1, folder 22

Bunce, John, 1974-1979

carton 1, folder 23

Busby, Robert, 1970

carton 1, folder 24

Cain, Bryan, 1971

carton 1, folder 25

Cain, Cathy, 1986

carton 1, folder 26

Cambanis, Stamatis, 1978

carton 1, folder 27

Campbell, Alan M., 1972

carton 1, folder 28

Caradus, Sel R., 1972

carton 1, folder 29

Carleson, Lennart, 1971

carton 1, folder 30

Cayford, Ryton H., 1972

carton 1, folder 31

Chang, Alice Sun-Yung, 1974

carton 1, folder 32

Cheng, Shiu-Yuen, 1978

carton 1, folder 33

Chernoff, Paul, 1984

carton 1, folder 34

Choi, Man-Duen, 1972

carton 1, folder 35

Cimmino, Gianfranco, 1975

carton 1, folder 36

Col, Brian, 1969

carton 1, folder 37

Connes, Alain, 1972

carton 1, folder 38

Corwin, Larry, 1972

carton 1, folder 39

Craw, Ian G., 1972

carton 1, folder 40

Curiel, Joaquin, 1972

carton 1, folder 41

Davidson, Ken, 1978

carton 1, folder 42

Davis, Chandler, 1972

carton 1, folder 43

Deddens, Jim, 1973

carton 1, folder 44

Deel, James C., 1972

carton 1, folder 45

DePrima, Charles R., 1975

carton 1, folder 46

Ding, Guang-Gui, 1981

carton 1, folder 47

Doplicher, Sergio, 1975

carton 1, folder 48

Doran, Robert S., 1970-1972

carton 1, folder 49

Douglas, Ronald G., 1975-1998

carton 1, folder 50

Douglas-Heath, Ronald G., 1971

carton 1, folder 51

Duncan, Art G., 1972

carton 1, folder 52

Enflo, Per, circa 1970s

carton 1, folder 53

Erdos, John, 1972

carton 1, folder 54

Ernest, John, 1970

carton 1, folder 55

Euclos, John, 1967-1972

carton 1, folder 56

Evans, Arthur, 1979

carton 1, folder 57

Exel, Ruy, 1985

carton 1, folder 58

Feintuch, Avraham, 1972

carton 1, folder 59

Feldstein, Alan; Nering, Evar D., 1979

carton 1, folder 60

Forrest, Peter, 1972

carton 1, folder 61

Gaice, Lars, 1981

carton 1, folder 62

Gentwhaler, Murray, 1985

carton 1, folder 63

Gilbarg, David, 1975

carton 1, folder 64

Greenleaf, Fred, 1970

carton 1, folder 65

Greiner, Peter C., 1975

carton 1, folder 66

Grillet, Pierre Anton, 1980

carton 1, folder 67

Guyker, James, 1969

carton 1, folder 68

Haagerup, Uffe, 1980-1984

carton 1, folder 69

Halmos, Paul, 1971-1981

carton 1, folder 70

Halpern, Herb, circa 1970s

carton 1, folder 71

Harris, Lawrence, 1973-1997

carton 1, folder 72

Haynor, David, 1971

carton 1, folder 73

Helton, Bill, 1975

carton 1, folder 74

Holbrook, John, 1972

carton 1, folder 75

Holladay, Ken, 1972

carton 1, folder 76

Hopenwasser, Alan, 1973-1974

carton 1, folder 77

Istratescu, Vasile I., 1974

carton 1, folder 78

Iwanik, Anzelm, 1984

carton 1, folder 79

Johnson, Barry E.; Ringrose, John, 1978-1980

carton 1, folder 80

Johnson, Gerald, 1974

carton 1, folder 81

Palle, Jorgensen, circa 1970s

carton 1, folder 82

Kadison, Richard, 1975-1992

carton 1, folder 83

Kaplansky, Irving, 1972

carton 1, folder 84

Kennison, John, 1971

carton 1, folder 85

Kosaki, Hideki, undated

carton 1, folder 86

Krizkova, Jitka, 1982-1983

carton 1, folder 87

Lance, E. Chris, 1979

carton 1, folder 88

Landweber, Peter, 1980

carton 1, folder 89

Lanford, Oscar, 1971

carton 1, folder 90

Lassner, G.; Uhlmann, A., 1983

carton 1, folder 91

Longo, Robert, 1979

carton 1, folder 92

Lorentz, G. G., 1973

carton 1, folder 93

Mayer, Alan M., 1994

carton 1, folder 94

McGehee, Carruth, 1972

carton 1, folder 95

McKenzie, Ralph, 1972

carton 1, folder 96

McVoy, J. Michael, 1970

carton 1, folder 97

Meier, Zeller, 1967-1969

carton 1, folder 98

Miscellaneous, 1973-1990s

carton 1, folder 99

Mlak, Wlodzimierz, 1969-1972

carton 1, folder 100

Morel, Bernard B., 1971-1975

carton 1, folder 101

Mostert, Paul S., 1972

carton 1, folder 102

Moyer, R. D., 1971-1972

carton 1, folder 103

Muhly, Paul, 1972

carton 1, folder 104

Myers, Donald, 1970

carton 1, folder 105

Nash, John C. M., undated

carton 1, folder 106

Nordgren, Eric, 1979

carton 1, folder 107

Olesen, Dante, 1974

carton 1, folder 108

Olson, Cathy, 1972

carton 1, folder 109

Palmer, Theodore, 1972

carton 1, folder 110

Parlett, Beresford N., undated

carton 1, folder 111

Parrott, Steve, 2000

carton 1, folder 112

Pearcy, Carl, 1971-1972

carton 1, folder 113

Pears, Alan, 1986

carton 1, folder 114

Pedersen, Gert, 1979-1992

carton 1, folder 115

Pesczynski, Aleksander, 1973

carton 1, folder 116

Phillips, Chris, 1986

carton 1, folder 117

Phillips, Ralph, 1983

carton 1, folder 118

Pincus, Joel, 1984

carton 1, folder 119

Poon, Yi, undated

carton 1, folder 120

Price, Geoffrey, 1988

carton 1, folder 121

Ptak, Vlastimil, 1971-1986

carton 1, folder 122

Rabindranathan, M., 1972

carton 1, folder 123

Ray, David, 1972-1973

carton 1, folder 124

Ricardo, Henry, 1971-1972

carton 1, folder 125

Richter, Stefan, 1999

carton 1, folder 126

Robinson, Denh W., 1981

carton 1, folder 127

Rosenthal, Pete, 1968-1975

carton 1, folder 128

Ross, Kenneth, 1972

carton 1, folder 129

Rudin, Walter, 1997

carton 1, folder 130

Russo, Bernie, 1969

carton 1, folder 131

Saeks, R., 1981

carton 1, folder 132

Saffern, W., 1972

carton 1, folder 133

Saito, Kazuyuki, 1968

carton 1, folder 134

Sakai, Shoichiro, 1972-1985

carton 1, folder 135

Salina, Norberto, 1974

carton 1, folder 136

Schubert, Cedwin F., 1974

carton 1, folder 137

Schubert, Ethel, 1975

carton 1, folder 138

Segal, Irving, 1972-1991

carton 1, folder 139

Shapiro, George S., 1971

carton 1, folder 140

Shields, Allen, 1972

carton 1, folder 141

Simon, Barry, 1994

carton 1, folder 142

Sinclair, Allan, 1970

carton 1, folder 143

Singh, Ajit Iqbal, 1994

carton 1, folder 144

Smith, Patricia, 1982-1983

carton 1, folder 145

Smith, S. H., 1972

carton 1, folder 146

Spain, Philip, 1974

carton 1, folder 147

Stormer, Erling, 1969-1980

carton 1, folder 148

Sunder, V. S., 1984

carton 1, folder 149

Swaminathan, S., 1970

carton 1, folder 150

Szokefalvi-Nagy, Bela, 1988

carton 1, folder 1974-1981

Szymanski, Waclaw, 1974-1981

carton 1, folder 152

Takesaki, Masamichi, 1967-1988

carton 1, folder 153

Tenner, Edward, 1976-1977

carton 1, folder 154

Thompson, Anthony C., 1984-1985

carton 1, folder 155

Toppeiez, Dave, 1969

carton 1, folder 156

Varopoulos, Nicholas, 1980

carton 1, folder 157

Vesterstrom, Jorgen, 1972

carton 1, folder 158

Voiculescu, Dan, 1983-1985

carton 1, folder 159

Watanabe, S., 1972

carton 1, folder 160

Watatani, Y., 1983

carton 1, folder 161

Waterman, Alan, 1971-1972

carton 1, folder 162

Weisfeld, Morris, 1975

carton 1, folder 163

Widlund, Olof, 1973

carton 1, folder 164

Wright, Marcus, W., 1971

carton 1, folder 165

Wulfsohn, Aubrey, 1972

carton 1, folder 166

Zippin, Ziva and Morry, 1972

 

Series 2 Writings 1965-2011

Physical Description: carton 1, folders 167-189; carton 2, folders 1-78

Scope and Content Note

Writings include the complete published papers of Professor Arveson, starting in 1966 with “A theorem on the action of abelian unitary groups” and concluding in 2011 with “Helson and subdiagonal operator algebras” in a tribute to Henry Helson. Also included in Writings are the various unpublished papers of Professor Arveson.
carton 1, folder 167

A Theorem on the Action of Abelian Unitary Groups, 1966

carton 1, folder 168

An Algebraic Conjugacy Invariant for Measure-Preserving Transformations, 1967

carton 1, folder 169

Analyticity in Operator Algebras, 1967

carton 1, folder 170

Operator Algebras and Measure Preserving Automorphisms, 1967

carton 1, folder 171

A Density Theorem for Operator Algebras, 1967

carton 1, folder 171

A Note on Invariant Subspaces, 1968

carton 1, folder 172

Operator Algebras and Measure Preserving Automorphisms II, 1968

carton 1, folder 173

On Subalgebras of C*-Algebras, 1969

carton 1, folder 174

Subalgebras of C*-Algebras, 1969

carton 1, folder 175

Unitary Invariants for Compact Operators, 1970

carton 1, folder 176

Operators with Compact Imaginary Part, 1971

carton 1, folder 177

Subalgebras of C*-Algebras II, Acta Mathematica, 1972

carton 1, folder 178

Lattices of Invariant Subspaces, 1972

carton 1, folder 179

On Groups of Automorphisms and Operator Algebras, 1974

carton 1, folder 180

Operator Algebras and Invariant Subspaces, 1974

carton 1, folder 181

A Note on Essentially Normal Operators, 1974

carton 1, folder 182

Interpolation Problems in Nest Algebras, 1974

carton 1, folder 183

A Spectral Theorem for Nonlinear Operators, 1976

carton 1, folder 184

Spectral Theory for Nonlinear Random Processes, 1976

carton 1, folder 185

Notes on Extensions of C*-Algebras, 1977

carton 1, folder 186

Perturbations of Nest Algebras, 1979

carton 1, folder 187

The Harmonic Analysis of Automorphism Groups, 1982

carton 1, folder 188

Quantization and the Uniqueness of Invariant Structures, 1983

carton 1, folder 189

Perturbation Theory for Groups and Lattices, 1983

carton 2, folder 1

Ten Lectures on Operator Algebras, 1984

carton 2, folder 2

Continuous Nests and the Absorption Principle, 1985

carton 2, folder 3

Markov Operators and OS-Positive Processes, 1985

carton 2, folder 4

Nonlinear States on C*-Algebras, 1987

carton 2, folder 5

Continuous Analogues of Fock Space, 1989

carton 2, folder 6

An Addition Formula for the Index of Semigroups of Endomorphisms of B(H), 1989

carton 2, folder 7

Continuous Analogues of Fock Space III: Singular States, 1989

carton 2, folder 8

Continuous Analogues of Fock Space II: The Spectral C*-Algebra, 1990

carton 2, folder 9

The Spectral C*-Algebra of an Eo-Semigroup, 1990

carton 2, folder 10

Continuous Analogues of Fock Space IV: Essential States, 1990

carton 2, folder 11

Quantizing the Fredholm Index, 1990

carton 2, folder 12

C*-Algebras Associated with Sets of Semigroups of Isometries 1991

carton 2, folder 13

A Note on Extensions of Semigroups of *-Endomorphisms, 1992

carton 2, folder 14

Non-commutative Spheres and Numerical Quantum Mechanics, 1993

carton 2, folder 15

Discretized CCR Algebras, 1991

carton 2, folder 16

Improper Filtrations for C*-Algebras: Spectra of Unilateral Tridiagonal Operators, 1993

carton 2, folder 17

C*-Algebras and Numerical Linear Algebra, 1994

carton 2, folder 18

The Role of C*-Algebras in Infinite Dimensional Numerical Linear Algebra, 1994

carton 2, folder 19

Eo-Semigroups in Quantum Field Theory, 1994

carton 2, folder 20

Dynamical Invariants for Noncommutative Flows, 1997

carton 2, folder 21

Minimal Eo-Semigroups; Operator Algebras and Their Applications, 1997

carton 2, folder 22

Path Spaces, Continuous Tensor Products and Eo-Semigroups, 1994

carton 2, folder 23

The Index of a Quantum Dynamical Semigroup, 1997

carton 2, folder 24

Pure Eo-Semigroups and Absorbing States, 1997

carton 2, folder 25

Subalgebras of C*-Algebras III; Multivariable Operator Theory, 1998

carton 2, folder 26

The Curvature of a Hilbert Module over C[z1,...,zd], 1999

carton 2, folder 27

On the Index and Dilations of Completely Positive Semigroups, 1996

carton 2, folder 28

The Curvature Invariant of a Hilbert Module over C[z1,...zd], 2000

carton 2, folder 29

Interactions in Noncommutative Dynamics, 2000

carton 2, folder 30

Infinite Tensor Products of Completely Positive Semigroups, 2001

carton 2, folder 31

The Dirac Operator of a Commuting of d-tuple, 2002

carton 2, folder 32

The Domain Algebra of a CP-Semigroup, 2002

carton 2, folder 33

The Heat Flow of the CCR Algebra, 2002

carton 2, folder 34

The Structure of Spin Systems, 2003

carton 2, folder 35

Generators of Non-Commutative Dynamics, 2002

carton 2, folder 36

Four Lectures on Non-Commutative Dynamics, 2003

carton 2, folder 37

Asymptotic Stability I; Completely Positive Maps, 2004

carton 2, folder 38

The Universal A-Dynamical System, 2004

carton 2, folder 39

The Free Cover of a Row Contraction, 2004

carton 2, folder 40

p-Summable Commutators in Dimension d, 2005

carton 2, folder 41

Diagonals of Self-Adjoint Operators, 2006

carton 2, folder 42

On the Existence of Eo-Semigroups, 2006

carton 2, folder 43

Diagonals of Normal Operators with Finite Spectra, 2006

carton 2, folder 44

The Asymptotic Lift of a Completely Positive Map, 2006

carton 2, folder 45

Quotients of Standard Hilbert Modules, 2007

carton 2, folder 46

Asymptotic Lifts of Positive Linear Maps, 2007

carton 2, folder 47

Lifting Endomorphisms to Automorphisms, 2008

carton 2, folder 48

The Noncommutative Choquet Boundary, 2008

carton 2, folder 49

The Probability of Entanglement, 2009

carton 2, folder 50

Quantum Channels that Preserve Entanglement, 2009

carton 2, folder 51

Maximal Vectors in Hilbert Space and Quantum Entanglement, 2009

carton 2, folder 52

Dilation Theory Yesterday and Today, A Glimpse at Hilbert Space Operators, 2010

carton 2, folder 53

The Noncommutative Choquet Boundary III: Operator Systems in Matrix Algebras, 2010

carton 2, folder 54

The Noncommutative Choquet Boundary II: Hyperrigidity, 2011

carton 2, folder 55

Book Reviews - C*-Algebras by Example, 1997

carton 2, folder 56

The Prediction-Evasion Problem in ASW: A Theoretical Approach, 1965

carton 2, folder 57

Dimension Theory, 1965

carton 2, folder 58

An Approximation Theorem for Function Algebras, 1968

carton 2, folder 59

Invariant Subspaces and Spectral Synthesis, 1971

carton 2, folder 60

The Choquet Boundary and Approximation Theory, circa 1970s

carton 2, folder 61

An Approximation Theorem for Function Algebras, circa 1970s

carton 2, folder 62

Representations of Unitary Groups, circa 1970s

carton 2, folder 63

Lectures on Nonlinear Spectral Theory and Random Processes, 1979

carton 2, folder 64

Circular Operators, 1984

carton 2, folder 65

Nonlinear Spectral Theory with Applications to Nonlinear Noise, 1984

carton 2, folder 66

Quantizing the Fredholm Index, 1988

carton 2, folder 67

Generators of Noncommutative Dynamics, 1991

carton 2, folder 68

C*-Algebras and Numerical Linear Algebras, undated

carton 2, folder 69

The Universal A-Dynamical System, 1991

carton 2, folder 70

p-Summable Commutators in Dimension d, 1991

carton 2, folder 71

Notes on Measure and Integration in Locally Compact Spaces, 1993

carton 2, folder 72

Early Work on Eo-Semigroups; Research Proposal, 1996

carton 2, folder 73

The Canonical Anticommutation Relations, 1998

carton 2, folder 74

The Eo-Semigroup Sentinel, 1999

carton 2, folder 75

p-Summable Commutators in Dimension d>1, 1999

carton 2, folder 76

Comments on Tsirelson's Covariance Function, 2000

carton 2, folder 77

Several Problems in Operator Theory, 2003

carton 2, folder 78

Quotients of Standard Hilbert Modules, 2005

 

Series 3 Lectures and Seminars 1969-2013

Physical Description: carton 2, folders 79-97; carton 3, folders 1-77

Scope and Content Note

Lectures and Seminars include transcripts of talks Arveson gave to academic institutions around the world; e.g. England, China, France, Norway, Italy, Israel, Japan, Denmark, etc., as well as locations throughout the United States. These talks reveal Professor Arveson’s leading authority in the area of operator theory research. This series is well represented by detailed mathematical notations used by Professor Arveson for each of these various lectures.
carton 2, folder 79

Indiana Conference: Factorization in Certain Operator Algebras, 1969

carton 2, folder 80

Invariant Subspaces and Operator Algebras on Hilbert Space, 1970

carton 2, folder 81

Aberdeen, Scotland: Problems on Numerical Ranges, 1971

carton 2, folder 82

Santa Cruz, California: Dilation Theory, 1972

carton 2, folder 83

Functional Analysis Colloquium, 1971-1974

carton 2, folder 84

Aarhus University, Denmark: Invariant Subspaces, Compact Perturbations, Quasitriangular Operators, 1973-1974

carton 2, folder 85

Iowa Lectures, 1976-1979

carton 2, folder 86

IMPA, Rio de Janeiro: Instituto Nacional de Matematica Pura e Aplicada, 1977

carton 2, folder 87

Colloquia: Lincoln, NE; Texas A&M University; UCB/UCLA; Cal Tech/ Dalhousie University, Canada, 1978-1983

carton 2, folder 88

Distinguished Speaker Invitations, 1978-1985

carton 2, folder 89

Functional Analysis Colloquium, 1978-1992

carton 2, folder 90

Baire Category Theorem, undated

carton 2, folder 91

Mittug-Leffler Institute: Stockholm, Sweden, Graphs of Canchy and White Noise, 1980

carton 2, folder 92

Kingston, Jamaica; CCRs, 1981

carton 2, folder 93

Functional Analysis Colloquium, circa 1980s

carton 2, folder 94

Functional Analysis Colloquium, circa 1980s

carton 2, folder 95

Colloquium Talks, 1981-1982

carton 2, folder 96

Seminars, 1981-1982

carton 2, folder 97

Texas Tech University; Conference Board of the Mathematical Sciences, 1982-1983

carton 3, folder 1

Texas A&M University; Quasitriangular Operator Algebras, 1983

carton 3, folder 2

Busteni, Romania; The Anharmonic Oscillator, 1983

carton 3, folder 3

Saskatoon, Canada Lectures; Feynman's Formula, 1985

carton 3, folder 4

China Trips; An Invitation to C*-Algebras, 1984-1989

carton 3, folder 5

Tianjin University, China; Basic Operator Theory, 1985

carton 3, folder 6

Bloomington, Indiana; Feynman's Formula, 1986

carton 3, folder 7

UCSD - Colloquium; Feynman-Korc and Operators, 1986

carton 3, folder 8

Canberra, Australia; Feynman-Korc Formula, 1986

carton 3, folder 9

K, (TIZ)), 1987

carton 3, folder 10

UCLA Lectures, Stability of the Free Euclidean Field, 1987

carton 3, folder 11

Lincoln, Nebraska Lectures, Continuous Fock Systems and Semi-Groups of Endomorphisms of B(H), 1987

carton 3, folder 12

Functional analysis Colloquium Fock Systems, 1987

carton 3, folder 13

Israel Lectures, Toeplitz Matrix, 1987

carton 3, folder 14

Iowa Lectures, Quantizing the Fredholm Index, 1988

carton 3, folder 15

Philadelphia Lectures, Quantizing the Fredholm Index, 1988

carton 3, folder 16

Durham, North Carolina Lectures, Algebraic QFT and Stability-Segal, 1988

carton 3, folder 17

GPOTS, Great Plains Operator Theory Symposium, 1988

carton 3, folder 18

Houston, Texas Lectures, Quantizing the Fredholm Index, 1989

carton 3, folder 19

Functional Analysis Colloquium, 1989-1990

carton 3, folder 20

UC Berkeley, Graphs of Spectrum Colloquium, 1992

carton 3, folder 21

Reno, Nevada Lectures, West Coast Operator Theory Algebra Seminar, 1992

carton 3, folder 22

Urbana, Illinois Colloquium, 1992

carton 3, folder 23

San Antonio, Texas Lectures; 50 Years of C*-Algebras, 1993

carton 3, folder 24

Trondheim, Norway Lectures; One-dimensional Quantum Systems, 1993

carton 3, folder 25

Cincinnati, Ohio Special Session; A Problem in -Dimensional Linear Algebra, 1994

carton 3, folder 26

GPOTS; Great Plains Operator Theory Symposium, 1994

carton 3, folder 27

Cal Tech - Eo-Semigroups, 1995

carton 3, folder 27

Field's Institute; Classification of Simple Purely Infinite C*-Algebras, 1995

carton 3, folder 28

Waterloo, Belgium; Metric Theory of Operator Spaces, 1995

carton 3, folder 29

Cambridge University, England; Quantization and Nonlinear Wave Equations, 1994

carton 3, folder 30

Annapolis, Maryland Lectures; Santa Clara, California Lectures 1995-1996

carton 3, folder 31

GPOTS, Great Plains Operator Theory Symposium, 1996

carton 3, folder 32

Samos, Greece Lectures; The Asymptotics of Non-Commutative Flows, 1996

carton 3, folder 33

Cal Tech; Return to Equilibrium for Semigroups of Endomorphisms of B(H), 1997

carton 3, folder 34

Corvallis, Oregon; The Energy of a Commutative Operator Space, 1997

carton 3, folder 35

Shanghai, China; Energy Sequence of an Operator Space, 1997

carton 3, folder 36

College Station, Texas Lectures; Multivariable Operator Theory, 1997

carton 3, folder 37

History Seminar; Homology and Spectrum, 1997

carton 3, folder 38

Marseille, France Lectures; Gauss-Bonnet Theorem, 1998

carton 3, folder 39

Irvine, California Talk; Continuous Time Analogues of the Cuntz C*-Algebras, undated

carton 3, folder 40

Nordfjordeid, Norway Lecture; C*-Algebras, 1998

carton 3, folder 41

San Antonio, Texas Lectures; The Curvature Invariant in Multivariable Operator Theory, 1999

carton 3, folder 42

Nashville, Tennessee Lectures; The Curvature Invariant in Multivariable Operator Theory, 1999

carton 3, folder 43

Ambleside, England; Curvature Invariant, 2000

carton 3, folder 44

Sacramento, California; Curvature Invariant of Multivariable Operator Theory, 1999

carton 3, folder 45

Iowa State University; Eigenvalue Lists of Normal States, 1999

carton 3, folder 46

Wichmann Symposium, UC Berkeley; Mathematical Physics and Quantum Field Theory, 1999

carton 3, folder 47

Analysis Seminar; Fock Model of Spin Systems, 1999-2000

carton 3, folder 48

Ambleside, England; Operator Function Theory and Semigroups, 2000

carton 3, folder 49

Ambleside, England; Dirac Operators and the Curvature Invariant, 2000

carton 3, folder 50

Cal Tech; Interactions in Noncommutative Dynamics, 2000

carton 3, folder 51

Mathematical Sciences Research Institute; Interactions in Noncommutative Dynamics; 2000

carton 3, folder 52

Miller Talk; What is Noncommutative Analysis?, 2000

carton 3, folders 53

San Francisco State University; Spin Systems and Symplectic Forms, 2000

carton 3, folder 54

Mathematical Sciences Research Institute; Curvature and Dirac Operator of a Commuting D-Tuple, 2001

carton 3, folder 55

Functional Analysis Colloquium; Spin Systems, Spin Systems, 2001

carton 3, folder 56

Oslo, Norway; Generators of Noncommutative Dynamics, 2001

carton 3, folder 57

Mount Holyoke College, Massachusetts; Causality and Dynamics in B(H), 2002

carton 3, folder 58

Mount Holyoke College, Massachusetts; Reno, Nevada; Generators of Dynamics and Dilations, 2002

carton 3, folder 59

Role of Product Systems, 2002

carton 3, folder 60

Spectral C*-Algebras, 2002

carton 3, folder 61

UC Davis Colloquium; Causality in Non-Commutative Dynamics, 2002

carton 3, folder 62

UC Los Angeles; Asymptotics, 2003

carton 3, folder 63

Richard Kadison Project, 2003

carton 3, folder 64

Baltimore, Maryland; Non-Commutative Dynamics, Moment Polynomials and Dilations, 2003

carton 3, folder 65

Lecture Notes; Entropy Invariant, 2003-2005

carton 3, folder 66

Banff, Canada; Kyoto, Japan; Fredholm Dirac Operators, 2003-2004

carton 3, folder 67

Calgary, Canada; Causality in Non-Commutative Dynamics, 2003

carton 3, folder 68

Bangalore, India; Asymptotic Stability of Completely Positive Maps, 2003

carton 3, folder 69

Kyoto, Japan; E-Semigroups, 2004

carton 3, folder 70

Newcastle, England; The Free Cover of a Row Contraction, 2004

carton 3, folder 71

Copenhagen, Denmark; Hilbert Modules Over C[z1,...zd], K-Homology of Algebraic Varieties and Zelda's Curse, 2005

carton 3, folder 72

Salt Lake City, Utah; Operator Theory and the K-Homology of Algebraic Varieties, 2006

carton 3, folder 73

Salt Lake City, Utah; The Asymptotic Lift of a Completely Positive Map, 2006

carton 3, folder 74

Tucson, Arizona; The Noncommutative Choquet Boundary, 2007

carton 3, folder 75

Luminy, France; The Noncommutative Choquet Boundary, 2007

carton 3, folder 76

Toronto, Canada; The Noncommutative Choquet Boundary, 2007

carton 3, folder 77

GPOTS, Great Plains Operator Theory Symposium in Memory of William Arveson, 2013

 

Series 4 Teaching Materials 1965-2007

Physical Description: carton 3, folders 78-82; cartons 4-5; carton 6, folders 1-42

Scope and Content Note

Teaching Materials include comprehensive lecture notes for UCLA (1965), Harvard (1965-1968) and UC Berkeley (1968-2011).
carton 3, folder 78

UC Los Angeles; Invariant Means, 1965

carton 3, folder 79

UC Los Angeles, Functional Analysis, 1965

carton 3, folder 80

UC Los Angeles; Functional Analysis, Math 228, 1965

carton 3, folder 81

UC Los Angeles; Math 228, 1965

carton 3, folder 82

UC Los Angeles, Math 228, 1965

carton 4, folder 1

UC Los Angeles; Math 238-I, 1965

carton 4, folder 2

UC Los Angeles; Math 238 - II, 1965

carton 4, folder 3

UC Los Angeles; Math 238 - III, 1965

carton 4, folder 4

UC Los Angeles; Math 238 - IV, 1965

carton 4, folder 5

UC Los Angeles; Math 238 - V, 1965

carton 4, folder 6

Harvard; Quantum Mechanics, 1965-1966

carton 4, folder 7

Harvard Lectures, Math 221; The Existence of Invariant Subspaces, 1966-1967

carton 4, folder 8

Harvard Lectures; Math 248, 1965-1966

carton 4, folder 8

Harvard Lectures; Math 248, 1965-1966

carton 4, folder 9

Harvard Lectures; Math 241, 1967-1968

carton 4, folder 10

UC Berkeley; Assorted Math Exams, 1968-1980

carton 4, folder 11

UC Berkeley, Math 1B, 1999

carton 4, folder 12

UC Berkeley; Math 1B, 2001

carton 4, folder 13

UC Berkeley; Math 7B, undated

carton 4, folder 14

UC Berkeley; Math 50A, 1993

carton 4, folder 15

UC Berkeley; Math H50A and H50B, 1983-1988

carton 4, folder 16

UC Berkeley; Math 104, 1994

carton 4, folder 17

UC Berkeley; Math 104A and 104B, 1969

carton 4, folder 18

UC Berkeley; Math 105, 1969

carton 4, folder 19

UC Berkeley; Math 105, 1971

carton 4, folder 20

UC Berkeley; Math 105, 2003

carton 4, folder 21

UC Berkeley; Math 110, 1994

carton 4, folder 22

UC Berkeley; Math 110, 1996

carton 4, folder 23

UC Berkeley; Math 113A, 1985

carton 4, folder 24

UC Berkeley; Math 113 B, 1971

carton 4, folder 25-26

UC Berkeley; Math 128 A 1991

carton 4, folder 27

UC Berkeley; Math 155 DW, 1998

carton 4, folder 28

UC Berkeley; Math 185, 1971

carton 4, folder 29

UC Berkeley; Math 189, 1998

carton 4, folder 30

UC Berkeley; Lecture Notes, Math 202, 1993

carton 4, folder 31

UC Berkeley; Math 202 A, 1987

carton 4, folder 32

UC Berkeley; Math 202 A, 1973

carton 4, folder 33

UC Berkeley; Math 202 A, 1988

carton 4, folder 34

UC Berkeley; Math 202 A, 1992

carton 4, folder 35

UC Berkeley, Math 202 A, 1995

carton 5, folder 1

UC Berkeley; Math 202B, 1991

carton 5, folder 2

UC Berkeley; Math 202B, 1993

carton 5, folder 3

UC Berkeley; Math 202B, 1997

carton 5, folder 4

UC Berkeley; Math 202B, 2001

carton 5, folder 5-6

UC Berkeley; Math 206 (1 of 2), 1984

carton 5, folder 7

UC Berkeley; Math 206, 1989

carton 5, folder 8

UC Berkeley; Math 206, 1992

carton 5, folder 9

UC Berkeley; Math 206, 1997

carton 5, folder 10

UC Berkeley; Math 206, 2000

carton 5, folder 11

UC Berkeley; Math 206, 2002

carton 5, folder 12

UC Berkeley; Math 206A, 1972

carton 5, folder 13

UC Berkeley; Math 206A, 1975

carton 5, folder 14

UC Berkeley; Math 206A, 1980

carton 5, folder 15

UC Berkeley; Math 206B, Linear Operators, 1970

carton 5, folder 16

UC Berkeley; Math 206B, 1972

carton 5, folder 17

UC Berkeley; Math 206B, 1975

carton 5, folder 18

UC Berkeley, Math 206B, 1978

carton 5, folder 19

UC Berkeley; Math 206B, 1980

carton 5, folder 20

UC Berkeley; Math 208, 1979

carton 5, folder 21

UC Berkeley; Math 208, 1980

carton 5, folder 22

UC Berkeley; Math 208, 1996-1998

carton 5, folder 23

UC Berkeley; Math 208, 1998

carton 5, folder 24

UC Berkeley; Math 209, 1984

carton 5, folder 25

UC Berkeley; Math 209, 1984

carton 5, folder 26

UC Berkeley; Math 209, 1990

carton 5, folder 27

UC Berkeley; Math 209A, 1978

carton 5, folder 28

UC Berkeley; Math 209B, 1978

carton 5, folder 29

UC Berkeley; Math 278 II, 1982

carton 5, folder 30

UC Berkeley; Math 278, Topics in Operator Algebras, 1972

carton 5, folder 31

UC Berkeley; Math 278, 1974

carton 6, folder 1

UC Berkeley; Math 278, 1979

carton 6, folder 2

UC Berkeley; Math 278, 1986

carton 6, folder 3

UC Berkeley; Math 278, circa 1980s

carton 6, folder 4

UC Berkeley; Math 278, 1996

carton 6, folder 5

UC Berkeley; Math 278, 1999

carton 6, folder 6

UC Berkeley; Math 278, 1999

carton 6, folder 7

UC Berkeley; Math 290, Multiplicity Theory, 1969

carton 6, folder 8

uC Berkeley; Math 290, Operator Algebras, 1971

carton 6, folder 9

UC Berkeley; Math 290, Compact Perturbations, 1973

carton 6, folder 10

UC Berkeley; Math 290, 1980

carton 6, folder 11

UC Berkeley; Math 290, 1983

carton 6, folder 12

UC Berkeley; Math 290, 1983

carton 6, folder 13

UC Berkeley; Math 290, 1983

carton 6, folder 14

UC Berkeley; Math 290, 1983

carton 6, folder 15

UC Berkeley; Math 290, 1984

carton 6, folder 16

UC Berkeley; Math 290, 1985

carton 6, folder 17

UC Berkeley; Math 290, 1986

carton 6, folder 18

UC Berkeley; Math 290, 1987

carton 6, folder 19

UC Berkeley; Math 290, 1988

carton 6, folder 20

UC Berkeley; Math 290, 1992

carton 6, folder 21

UC Berkeley; Math 290, 1992-1993

carton 6, folder 22

UC Berkeley; Math 290, 1994

carton 6, folder 23

UC Berkeley; Math 290, 1994

carton 6, folder 24

UC Berkeley; Math 290, 1995

carton 6, folder 25

UC Berkeley; Math 290, 1998

carton 6, folder 26

UC Berkeley; Math 290, 1998

carton 6, folder 27

UC Berkeley; Math 290, 1999

carton 6, folder 28

UC Berkeley; Math 290, 2003

carton 6, folder 29

UC Berkeley; Math 290, 2004

carton 6, folder 30

UC Berkeley; Math 290, 2007

carton 6, folder 31

UC Berkeley; What is an Operator?, 1971

carton 6, folder 32

UC Berkeley; What is a Von Neumann Algebra?, 1971

carton 6, folder 34

UC Berkeley; Hoffman, Michael J.; Notes on Arveson Lecture, 1973

carton 6, folder 34

UC Berkeley; Lectures on Compact Perturbations, 1975

carton 6, folder 35

UC Berkeley; On Getting A=T+K, TE Continuous Nest Algebra, 1977-1978

carton 6, folder 36

UC Berkeley; Hilbert Cross Norms on Operators, 1978

carton 6, folder 37

UC Berkeley; Moore-Rieffel, oo-Dimensional Groups Seminars, 1978

carton 6, folder 38

UC Berkeley; Operator Algebras Seminars, circa 1980s

carton 6, folder 39

UC Berkeley; Eigenvalues, 1992

carton 6, folder 30

UC Berkeley; C(H) Stuff, 1997

carton 6, folder 41

Aarhus University, Denmark, 1973-1974

carton 6, folder 42

Aarhus University, Denmark, 1974

 

Series 5 Departmental Files 1972-2003

Physical Description: carton 6, folders 43-49

Scope and Content Note

UCB Departmental files contain administrative information such as qualifying exams, admissions, personnel committee notes, teaching evaluations and information on international exchange scholars. Professor Arveson acted in the role of faculty associate supporting international exchange scholars such as Rajendra Bhatia of India.
carton 6, folder 43

UC San Diego; Math Department Professor, 1975

carton 6, folder 44

UC Berkeley; Admissions, Ph.D. Candidates, 1988-1992

carton 6, folder 45

UC Berkeley; Bhatia, Rajendra; Council for International Exchange of Scholars, 1979-1984

carton 6, folder 46

UC Berkeley; Personnel Committee, 1984-1985

carton 6, folder 47

UC Berkeley; Qualifying Exams, 1978-1999

carton 6, folder 48

UC Berkeley; Teaching Points, 1976-1984

carton 6, folder 49

UC Berkeley; Teaching Evaluations, 1972-2003

 

Series 6 Professional Files 1967-2000

Physical Description: carton 6, folders 50-56; carton 7, folders 1-33

Scope and Content Note

Professional Files contain requests from the American Mathematical Society to Professor Arveson to arrange special sessions and give lectures and presentations on operator theory. Also documented are the annual joint Summer Research Conferences put on by the American Mathematical Society (AMS), the Institute of Mathematical Statistics (IMS) and the Society for Industrial and Applied Mathematics (SIAM). In addition, Professional Files contain publishing and royalties’ information, as well as grants and fellowships awarded to Professor Arveson by the Guggenheim Memorial Foundation, the Miller Institute for Basic Research in Science and the National Science Foundation. Professor Arveson was the principal investigator for grants from the National Science Foundation during most of his career at Berkeley. Arveson served as National Research Council Research Fellow in 1971 at the University of Newcastle, England. He served as a Visiting Professor at Aarhus University in Denmark during 1973-1974, and at the University of California, San Diego in 1974-1975. He won a Guggenheim Fellowship for 1976-1977, and in 1985-1986 and 1999-2000 he held a prestigious Miller Professorship at the University of California, Berkeley. Professor Arveson served the mathematics community as editor of several major journals. His positions included Principal Editor of the Journal of Operator Theory, Consulting Editor of the Journal of the Edinburgh Mathematical Society, Associate Editor of the Bulletin of the American Mathematical Society, and Associate Editor of the Duke Mathematical Journal. He also served a term as treasurer of the Pacific Journal of Mathematics.
carton 6, folder 50

American Mathematical Society, 1974-1975

carton 6, folder 51

American Mathematical Society, Quasitriangular Operator Algebras, 1981-1983

carton 6, folder 52

American Mathematical Society, 1985-1986

carton 6, folder 53

American Mathematical Society, 1987

carton 6, folder 54

American Mathematical Society, 1987

carton 6, folder 55

American Mathematical Society, 1987

carton 6, folder 56

American Mathematical Society, 1987

carton 7, folder 1

American Mathematical Society, 1987

carton 7, folder 2

American Mathematical Society, 1988

carton 7, folder 3

American Mathematical Society, 1991

carton 7, folder 4

AMS-IMS-SIAM, Summer Research Conference, 1986-1987

carton 7, folder 5

AMS-IMS-SIAM, Summer Research Conference, 1987

carton 7, folder 6

AMS-IMS-SIAM, Summer Research Conference, 1987-1988

carton 7, folder 7

AMS-IMS-SIAM, Summer Research Conference, 1988

carton 7, folder 8

AMS-IMS-SIAM, Summer Research Conference, 1988

carton 7, folder 9

AMS-IMS-SIAM, Summer Research Conference, 1988-1989

 

Editorial Correspondence

carton 7, folder 10

Duke Mathematical Journal, 1975-1985

carton 7, folder 11

Miscellany, undated

carton 7, folder 12

Pacific Journal of Mathematics, 1978

carton 7, folder 13

Pitman Publishing Limited, 1978-1980

carton 7, folder 14

Springer-Verlag Publishing, 1975-1981

carton 7, folder 15

University of Michigan Mathematical Reviews, 1979

carton 7, folder 16

Guggenheim Memorial Foundation, 1976

carton 7, folder 17

Miller Institute, 1998-1999

 

Grants and Fellowships

carton 7, folder 18

National Science Foundation, 1967

carton 7, folder 19

National Science Foundation, 1977-1979

carton 7, folder 20

National Science Foundation, 1979-1981

carton 7, folder 21

National Science Foundation, 1982-1983

carton 7, folder 22

National Science Foundation, 1983-1984

carton 7, folder 23

National Science Foundation, 1985

carton 7, folder 24

National Science Foundation, 1986-1987

carton 7, folder 25

National Science Foundation, 1988

carton 7, folder 26

National Science Foundation, 1988-1989

carton 7, folder 27

National Science Foundation, 1989

carton 7, folder 28

National Science Foundation, 1990-1992

carton 7, folder 29

National Science Foundation, 1992

carton 7, folder 30

National Science Foundation, 1993-1994

carton 7, folder 31

National Science Foundation, 1994

carton 7, folder 32

National Science Foundation, 1995-1998

carton 7, folder 33

National Science Foundation, 2000

 

Series 7 Research Files 1974-2006

Physical Description: carton 7, folders 34-55; carton 8; carton 9, folders 1-18

Scope and Content Note

The Research files are quite extensive and wide-ranging, dating from 1974-2006. Professor Arveson’s primary interests were in functional analysis and operator algebras, as spearheaded by the famous John Von Neumann. The basic theory of two classes of such algebras, called C*- algebras and Von Neumann algebras both possess a property called self-adjointness. Professor Arveson set out to develop a theory of such algebras, and much of his early work focused on this project establishing him as a world leader in this area.
carton 7, folder 34

Strongly Amenable C*-Algebras (P.E. Johnson's paper), undated

carton 7, folder 35

Nonlinear Processes I, undated

carton 7, folder 36

(Erling) Stormer's Lecture on Conne's Thesis, 1974

carton 7, folder 37

Kiskimoto's Argument, 1989

carton 7, folder 38

Eigenvalues Research, 1991-1992

carton 7, folder 39

Tridiagonal Matrix (1 of 2), 1991-1992

carton 7, folder 40

Tridiagonal Matrix (2 of 2), 1992-1993

carton 7, folder 41

Reshetikhin - Nicolai Problem, 1992

carton 7, folder 42

Shadows of Unitaries, 1992

carton 7, folder 43

Feldman's Problem, 1993

carton 7, folder 44

Signature Theory for Operators and Quadratic Forms, 1993

carton 7, folder 45

Inertia Theory for Matrices, 1992-1993

carton 7, folder 46

Elliptic Maps, 1992-1993

carton 7, folder 47

Davidson, Douglas Question, 1993

carton 7, folder 48

Geller, William Problem, 1993

carton 7, folder 49

Momentum and Schwinger's Hd, 1993

carton 7, folder 50

Completion of H to XH, 1993

carton 7, folder 51

Eo-Wold, 1994

carton 7, folder 52

Log (E): (1 of 2), 1994

carton 7, folder 53

Log (E): (2 of 2), 1994

carton 7, folder 54

New C*IE, 1993-1994

carton 7, folder 55

Path Space, 1994

carton 8, folder 1

Quantum Markov Process, 1994

carton 8, folder 2

Elliptic Maps, 1994

carton 8, folder 3

Decomposability Paper (1 of 2), 1994

carton 8, folder 4

Decomposability Paper (2 of 2), 1994

carton 8, folder 5

Commuting N-Tuples, 1995

carton 8, folder 6

Cocycle Approach to Constructing E's (unsuccessful), 1995

carton 8, folder 7

Dilations and Invariant States, 1995

carton 8, folder 8

Moment Polynomials, 1995

carton 8, folder 9

A-Morphisms, 1995

carton 8, folder 10

A-Morphisms, 1995

carton 8, folder 11

Signature Theory, 1995

carton 8, folder 12

Deficiency Modules, 1995

carton 8, folder 13

CP(M),M=von Neumann Algebra, 1995

carton 8, folder 14

Math Notes, 1994

carton 8, folder 15

Math Notes: Group A: (1 of 7), 1995

carton 8, folder 16

Math Notes: Group A: (2 of 7), 1995

carton 8, folder 17

Math Notes: Group A: (3 of 7), 1995

carton 8, folder 18

Math Notes: Group A: (4 of 7), 1995

carton 8, folder 18

Math Notes: Group A: (5 of 7), 1995

carton 8, folder 20

Math Notes: Group A: (6 of 7), 1995

carton 8, folder 21

Math Notes: Group A: (7 of 7), 1995

carton 8, folder 22

Math Notes: Group B: (1 of 7), 1995

carton 8, folder 23

Math Notes: Group B: (2 of 7), 1995

carton 8, folder 24

Math Notes: Group B: (3 of 7), 1995

carton 8, folder 25

Math Notes: Group B: (4 of 7), 1995

carton 8, folder 26

Math Notes: Group B: (5 of 7), 1995

carton 8, folder 27

Math Notes: Group B: (6 of 7), 1995

carton 8, folder 28

Math Notes: Group B: (7 of 7), 1995

carton 8, folder 29

Math Notes: Group C: (1 of 2), 1978-1989

carton 8, folder 30

Math Notes: Group C: (2 of 2), 1989-2001

carton 8, folder 31

Math Notes, 2001

carton 8, folder 32

Half-Foms, 1995

carton 8, folder 33

Dominant Metrics on Operators, 1995

carton 8, folder 34

Submorphisms and the Construction Lim Ep, 1995

carton 8, folder 35

Minimality, 1995

carton 8, folder 36

On ∆'CA), 1995

carton 8, folder 37

Elliptic Operator Maps, 1995

carton 8, folder 38

Symbols, 1995

carton 8, folder 39

Interactions and Histories, 1995

carton 8, folder 40

Quantum Processes: Differential Structures, 1995

carton 8, folder 41

Cocycle-conjugate, 1995

carton 8, folder 42

Modular Cohomology, 1995

carton 8, folder 43

Matrix N.C. Geometry, 1996

carton 8, folder 44

Single Completely Positive Maps, 1996

carton 8, folder 45

Mixing, 1995-1996

carton 8, folder 46

Path Functional of the Weyl Process, 1996

carton 8, folder 47

Ergodicity of CP flows on )Nn(O), 1996

carton 8, folder 48

Weyl Flow (1 of 2), 1996

carton 8, folder 49

Weyl Flow (2 of 2), 1996-2000

carton 8, folder 50

Operator Theory: Maps:, 1995-1997

carton 8, folder 51

von Neumann, John: Information, 1995-1997

carton 8, folder 52

∃ Dilations, Reflexivity, 1997

carton 8, folder 53

Energy of a d-contraction (1 of 2), 1997

carton 9, folder 1

Energy of a d-contraction (2 of 2), 1997

carton 9, folder 2

Category Theory-Lifting, 1997

carton 9, folder 3

Homology, 1997

carton 9, folder 4

Joint Spectrums, 1997

carton 9, folder 5

Fredholm Modules, 1997

carton 9, folder 6

H2 Stuff-Good Estimates, 1997

carton 9, folder 7

The Bundle Invariant (questionable value), 1998

carton 9, folder 8

On H2(M),ME mod; Maximal Norms, 1998

carton 9, folder 9

The Synergy Theorems, Hilbert Modules, 1998

carton 9, folder 10

Quantized Varieties, 1998

carton 9, folder 11

On Powers' Construction, 1998-1999

carton 9, folder 12

Thesis Problem Ideas, 1998

carton 9, folder 13

Mathematical Formulas, 1999

carton 9, folder 14

Fredholm Dirac Operators, 1999-2001

carton 9, folder 15

Domain Algebra, 2000

carton 9, folder 16

Compact Self Commutators, 2001

carton 9, folder 17

Noncommutative Dynamics, 2006

carton 9, folder 18

Standard Hilbert Modules: The Fredholm Property, 2006

 

Series 8 Biographical Materials 1939-2012

Physical Description: carton 9, folders 19-26

Scope and Content Note

Biographical materials include Professor Arveson’s curriculum vitae, his dissertation titled “Prediction Theory and Group Representations” (1964), biographical sketches, memorial essays, and a photograph album beginning with Professor Arveson as a young boy in Oakland in 1939, progressing through his life as a professor and lecturer. The last photographs date from 2007.
carton 9, folder 19

Biographical Sketches, 2012

carton 9, folder 20

Biography and Curriculum Vitae, 1988, 2011

carton 9, folder 21

Dissertation: "Prediction Theory and Group Representations", 1964

carton 9, folder 22

Faculty Website Printout, 2012

carton 9, folder 23

Mathematics Genealogy Project, 2012

carton 9, folder 24

Memorial Service Pamphlet, 2012

carton 9, folder 25

Memorial Essays, 2012

carton 9, folder 26

Photograph Album, 1939-2007