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The Direct Integral Theory Of Weights And The Plancherel Formula

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The Direct Integral Theory Of Weights And The Plancherel Formula

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Author : Colin Eric Sutherland
language : en
Publisher:
Release Date : 1973

The Direct Integral Theory Of Weights And The Plancherel Formula written by Colin Eric Sutherland and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Von Neumann algebras categories.

Von Neumann Algebras

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Author : J. Dixmier
language : en
Publisher: Elsevier
Release Date : 2011-08-18

Von Neumann Algebras written by J. Dixmier and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-18 with Mathematics categories.

In this book, we study, under the name of von Neumann algebras, those algebras generally known as “rings of operators“ or “W*-algebras.“ The new terminology, suggested by J. Dieudonng, is fully justified from the historical point of view. Certain of the results are valid for more general algebras. We have, however systematically avoided this kind of generalization, except when it would facilitate the study of von Neumann algebras themselves. Parts I and I1 comprise those results which at present appear to’be the most useful for applications, although we do not embark on the study of those applications. Part 111, which is more technical, is primarily intended for specialists; it is virtually independent of Part 11.

Theory Of Operator Algebras Iii

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Author : Masamichi Takesaki
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-11-01

Theory Of Operator Algebras Iii written by Masamichi Takesaki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-01 with Mathematics categories.

From the reviews: "These three bulky volumes [EMS 124, 125, 127] [...] provide an introduction to this rapidly developing theory. [...] These books can be warmly recommended to every graduate student who wants to become acquainted with this exciting branch of mathematics. Furthermore, they should be on the bookshelf of every researcher of the area." Acta Scientiarum Mathematicarum

Theory Of Operator Algebras Ii

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Author : Masamichi Takesaki
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-11-01

Theory Of Operator Algebras Ii written by Masamichi Takesaki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-01 with Mathematics categories.

Together with Theory of Operator Algebras I and III, this book presents the theory of von Neumann algebras and non-commutative integration focusing on the group of automorphisms and the structure analysis. From the reviews: "These books can be warmly recommended to every graduate student who wants to become acquainted with this exciting branch of mathematics. Furthermore, they should be on the bookshelf of every researcher of the area." --ACTA SCIENTIARUM MATHEMATICARUM

Operator Algebras And Applications Part 1

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Author : Richard V. Kadison
language : en
Publisher: American Mathematical Soc.
Release Date : 1982

Operator Algebras And Applications Part 1 written by Richard V. Kadison and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.

C Algebras And Their Automorphism Groups

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Author : Søren Eilers
language : en
Publisher: Academic Press
Release Date : 2018-08-08

C Algebras And Their Automorphism Groups written by Søren Eilers and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-08 with Mathematics categories.

This elegantly edited landmark edition of Gert Kjærgård Pedersen’s C*-Algebras and their Automorphism Groups (1979) carefully and sensitively extends the classic work to reflect the wealth of relevant novel results revealed over the past forty years. Revered from publication for its writing clarity and extremely elegant presentation of a vast space within operator algebras, Pedersen’s monograph is notable for reviewing partially ordered vector spaces and group automorphisms in unusual detail, and by strict intention releasing the C*-algebras from the yoke of representations as Hilbert space operators. Under the editorship of Søren Eilers and Dorte Olesen, the second edition modernizes Pedersen’s work for a new generation of C*-algebraists, with voluminous new commentary, all-new indexes, annotation and terminology annexes, and a surfeit of new discussion of applications and of the author’s later work. Covers basic C*-algebra theory in a short and appealingly elegant way, with a few additions and corrections given to the editors by the original author. Expands coverage to select contemporary accomplishments in C*-algebras of direct relevance to the scope of the first edition, including aspects of K-theory and set theory. Identifies key modern literature in an updated bibliography with over 100 new entries, and greatly enhances indexing throughout. Modernizes coverage of algebraic problems in relation to the theory of unitary representations of locally compact groups. Reviews mathematical accomplishments of Gert K. Pedersen in comments and a biography.