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
 Arveson, William Barnes : Mathematics( )
 Hankel operators on the DruryArveson space by James Allen Sunkes( )
 William Arveson papers by 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 ktheory, 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 fifteenweek course which the author offered to first or second year graduate students with a foundation in measure theory and elementary functional analysis
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 ktheory, 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 fifteenweek 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 secondyear 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 bestknown 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 barebones introduction to C^*algebras where sections 2.1 and 2.3 contain the basic structure thoery for Type 1 von Neumann algebras
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 secondyear 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 bestknown 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 barebones 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
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
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 711 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
14 editions published between 1996 and 2012 in English and held by 338 WorldCat member libraries worldwide
Noncommutative dynamics and Esemigroups 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 oneparameter 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 Esemigroups 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 SpringerVerlag, An Invitation to C*algebras (1976) and A Short Course on Spectral Theory (2001)
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 oneparameter 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 Esemigroups 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 SpringerVerlag, 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
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
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
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
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
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
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
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
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
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
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
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
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
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
2 editions published in 1990 in English and held by 2 WorldCat member libraries worldwide
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Related Identities
 Douglas, Ronald G. Other Contributor Editor
 Segal, Irving Ezra Other Editor
 Branson, Thomas 1953 Other Editor
 Von Neumann, John 19031957 Honoree
 Conference Board of the Mathematical Sciences Other Editor
 American Mathematical Society
 Summer Research Institute on Operator Theory, Operator Algebras and Applications (1988, Durham, NH)
 Chernoff, Paul R. 1942 Author
 OATE Conference (2, 1989, Craiova)
 National Academy of Sciences (U.S.)
Useful Links
Associated Subjects
Algebra Analytic functions Analytic spaces Bergman spaces Besov spaces Bilinear forms C*algebras Canada College teachers Differential equations, Nonlinear Differential equations, Partial Dirichlet series Editors Educational assistance Endomorphisms (Group theory) Ergodic theory Functional analysis Geometric quantization Group theory Hankel operators Hilbert modules Hilbert space Invariant subspaces Locally compact spaces Mathematical physics Mathematicians MathematicsResearch MathematicsStudy and teaching Measure theory Multipliers (Mathematical analysis) Noncommutative algebras Nonlinear theories Operator algebras Operator theory Perturbation (Mathematics) Random noise theory Representations of algebras Research Scientists Semigroups Semigroups of endomorphisms Sobolev spaces Spectral theory (Mathematics) Teachers Tensor products Topology United States University of California, Berkeley University of California, Berkeley.Department of Mathematics Von Neumann, John,
Covers
Alternative Names
Arveson, Bill
Arveson, W. B.
Arveson, W. B. 1934
Arveson, W. B. 19342011
Arveson, W. B. (William B.), 19342011
Arveson, W. B. (William Barnes)
Arveson, William.
Arveson, William B.
Arveson, William B. 1934
Arveson, William Barnes
William Arveson Amerikaans wiskundige (19342011)
William Arveson amerikansk matematikar
William Arveson amerikansk matematiker
William Arveson mathématicien américain
William Arveson USamerikanischer Mathematiker
ويليام أرفيسون
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