WorldCat Identities

Arveson, William

Overview
Works: 32 works in 230 publications in 2 languages and 3,697 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Other, Thesis advisor
Classifications: QA326, 512.55
Publication Timeline
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Most widely held works about William Arveson
 
Most widely held works by William Arveson
A short course on spectral theory by William Arveson( )

24 editions published between 2002 and 2011 in English and held by 941 WorldCat member libraries worldwide

This book presents the basic tools of modern analysis within the context of the fundamental problem of operator theory: to calculate spectra of specific operators on infinite dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more refined methods that allow one to approach problems that go well beyond the computation of spectra: the mathematical foundations of quantum physics, noncommutative k-theory, and the classification of simple C*-algebras being three areas of current research activity which require mastery of the material presented here. The book is based on a fifteen-week course which the author offered to first or second year graduate students with a foundation in measure theory and elementary functional analysis
An invitation to C*-algebras by William Arveson( Book )

32 editions published between 1976 and 2009 in English and German and held by 595 WorldCat member libraries worldwide

This book is an introduction to C^*-algebras and their representations on Hilbert spaces. The presentation is as simple and concrete as possible; the book is written for a second-year graduate student who is familiar with the basic results of functional analysis, measure theory and Hilbert spaces. The author does not aim for great generality, but confines himself to the best-known and also to the most important parts of the theory and the applications. Because of the manner in which it is written, the book should be of special interest to physicists for whom it opens an important area of modern mathematics. In particular, chapter 1 can be used as a bare-bones introduction to C^*-algebras where sections 2.1 and 2.3 contain the basic structure thoery for Type 1 von Neumann algebras
Operator theory : operator algebras and applications by Summer Research Institute on Operator Theory/Operator Algebras and Applications( Book )

27 editions published between 1987 and 2012 in English and held by 379 WorldCat member libraries worldwide

Ten lectures on operator algebras by William Arveson( Book )

23 editions published between 1970 and 1988 in English and held by 350 WorldCat member libraries worldwide

Quantization, nonlinear partial differential equations, and operator algebra : 1994 John von Neumann Symposium on Quantization and Nonlinear Wave Equations June 7-11 1994, Massachusetts Institute of Technology, Cambridge, Massachusetts by John von Neumann Symposium on Quantization and Nonlinear Wave Equations( Book )

14 editions published between 1996 and 2012 in English and held by 338 WorldCat member libraries worldwide

Noncommutative dynamics and E-semigroups by William Arveson( Book )

15 editions published between 2003 and 2011 in English and held by 310 WorldCat member libraries worldwide

The term Noncommutative Dynamics can be interpreted in several ways. It is used in this book to refer to a set of phenomena associated with the dynamics of quantum systems of the simplest kind that involve rigorous mathematical structures associated with infinitely many degrees of freedom. The dynamics of such a system is represented by a one-parameter group of automorphisms of a noncommutative algebra of observables, and the author focuses primarily on the most concrete case in which that algebra consists of all bounded operators on a Hilbert space. This subject overlaps with several mathematical areas of current interest, including quantum field theory, the dynamics of open quantum systems, noncommutative geometry, and both classical and noncommutative probability theory. This is the first book to give a systematic presentation of progress during the past fifteen years on the classification of E-semigroups up to cocycle conjugacy. There are many new results that cannot be found in the existing literature, as well as significant reformulations and simplifications of the theory as it exists today. William Arveson is Professor of Mathematics at the University of California, Berkeley. He has published two previous books with Springer-Verlag, An Invitation to C*-algebras (1976) and A Short Course on Spectral Theory (2001)
Continuous analogues of Fock space by William Arveson( Book )

14 editions published in 1989 in English and held by 261 WorldCat member libraries worldwide

Operator algebras and topology : proceedings of the OATE 2 Conference, Romania, 1989 by OATE Conference( Book )

15 editions published in 1992 in English and held by 205 WorldCat member libraries worldwide

Operator algebras and operator theory : proceedings of the OATE 2 Conference, Romania, 1989 by OATE Conference( Book )

14 editions published in 1992 in English and held by 160 WorldCat member libraries worldwide

Operator theory, operator algebras and application by William Arveson( )

3 editions published in 2014 in English and held by 54 WorldCat member libraries worldwide

Operator theory, operator algebras and applications by Operator Algebras and Applications Summer Research Institute on Operator Theory( Book )

10 editions published between 1988 and 1990 in English and held by 47 WorldCat member libraries worldwide

Lectures on topology and analysis, and Notes on measure and integration in locally compact spaces by Paul R Chernoff( Book )

7 editions published in 1993 in English and held by 20 WorldCat member libraries worldwide

Operartor theory, operator algebras and applications : proceedings ... by William Arveson( Book )

3 editions published between 1990 and 2014 in English and held by 5 WorldCat member libraries worldwide

Representations of C*-algebras by William Arveson( Book )

3 editions published between 1971 and 1972 in English and held by 4 WorldCat member libraries worldwide

Operator theory : operator algebras and applications by William Arveson( )

5 editions published between 1990 and 2014 in English and held by 4 WorldCat member libraries worldwide

Prediction theory and group representations by William Arveson( )

2 editions published in 1964 in English and held by 4 WorldCat member libraries worldwide

Nonlinear spectral theory, with applications to nonlinear noise by William Arveson( )

in English and held by 3 WorldCat member libraries worldwide

Compact perturbations of operators on Hilbert spaces by William Arveson( Book )

2 editions published in 1973 in English and held by 2 WorldCat member libraries worldwide

Lectures on topology and analysis by Paul R Chernoff( Book )

1 edition published in 1993 in English and held by 2 WorldCat member libraries worldwide

Proceedings of Symposia in Pure Mathematics : Operator Theory, Operator Algebras and Applications( Book )

2 editions published in 1990 in English and held by 2 WorldCat member libraries worldwide

 
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An invitation to C*-algebras
Covers
An invitation to C*-algebrasNoncommutative dynamics and E-semigroups
Alternative Names
Arveson, Bill

Arveson, W. B.

Arveson, W. B. 1934-

Arveson, W. B. 1934-2011

Arveson, W. B. (William B.), 1934-2011

Arveson, W. B. (William Barnes)

Arveson, William.

Arveson, William B.

Arveson, William B. 1934-

Arveson, William Barnes

William Arveson Amerikaans wiskundige (1934-2011)

William Arveson amerikansk matematikar

William Arveson amerikansk matematiker

William Arveson mathématicien américain

William Arveson US-amerikanischer Mathematiker

ويليام أرفيسون

Languages
English (220)

German (1)