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Completely Bounded Maps and Operator...
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Kirwan, F.
Completely Bounded Maps and Operator Algebras.
紀錄類型:
書目-電子資源 : 單行本
正題名/作者:
Completely Bounded Maps and Operator Algebras./
作者:
Paulsen, Vern.
其他作者:
Bollobas, B.
出版者:
Cambridge :Cambridge University Press, : 2003.,
面頁冊數:
314 p.
標題:
Operator algebras. -
電子資源:
Click here to view book
ISBN:
9780511546631 (electronic bk.)
Completely Bounded Maps and Operator Algebras.
Paulsen, Vern.
Completely Bounded Maps and Operator Algebras.
[electronic resource]. - Cambridge :Cambridge University Press,2003. - 314 p.
Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Preface; Chapter 1 Introduction; Chapter 2 Positive Maps; Chapter 3 Completely Positive Maps; Chapter 4 Dilation Theorems; Chapter 5 Commuting Contractions on Hilbert Space; Chapter 6 Completely Positive Maps into M; Chapter 7 Arveson’s Extension Theorems; Chapter 8 Completely Bounded Maps; Chapter 9 Completely Bounded Homomorphisms; Chapter 10 Polynomially Bounded and Power-Bounded Operators; Chapter 11 Applications to K-Spectral Sets; Chapter 12 Tensor Products and Joint Spectral Sets
This is a self-contained introduction to the principal results and ideas in the theories of completely positive maps, completely bounded maps, dilation theory, operator spaces and operator algebras, plus some of their main applications. An indispensable introduction to the theory of operator spaces for graduate students and experts alike.
Electronic reproduction.
Available via World Wide Web.
Mode of access: World Wide Web.
ISBN: 9780511546631 (electronic bk.)Subjects--Topical Terms:
276006
Operator algebras.
Index Terms--Genre/Form:
96803
Electronic books.
LC Class. No.: QA326 .P37 2002eb
Dewey Class. No.: 512/.55
Completely Bounded Maps and Operator Algebras.
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314 p.
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Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Preface; Chapter 1 Introduction; Chapter 2 Positive Maps; Chapter 3 Completely Positive Maps; Chapter 4 Dilation Theorems; Chapter 5 Commuting Contractions on Hilbert Space; Chapter 6 Completely Positive Maps into M; Chapter 7 Arveson’s Extension Theorems; Chapter 8 Completely Bounded Maps; Chapter 9 Completely Bounded Homomorphisms; Chapter 10 Polynomially Bounded and Power-Bounded Operators; Chapter 11 Applications to K-Spectral Sets; Chapter 12 Tensor Products and Joint Spectral Sets
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Chapter 13 Abstract Characterizations of Operator Systems and Operator SpacesChapter 14 An Operator Space Bestiary; Chapter 15 Injective Envelopes; Chapter 16 Abstract Operator Algebras; Chapter 17 Completely Bounded Multilinear Maps and the Haagerup Tensor Norm; Chapter 18 Universal Operator Algebras and Factorization; Chapter 19 Similarity and Factorization; Bibliography; Index
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This is a self-contained introduction to the principal results and ideas in the theories of completely positive maps, completely bounded maps, dilation theory, operator spaces and operator algebras, plus some of their main applications. An indispensable introduction to the theory of operator spaces for graduate students and experts alike.
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Fulton, W.
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Katok, A.
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Kirwan, F.
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http://ebooks.cambridge.org/ebook.jsf?bid=CBO9780511546631
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