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Completely Bounded Maps and Operator Algebras.

Author: Vern PaulsenB BollobasW FultonA KatokF KirwanAll authors
Publisher: Cambridge : Cambridge University Press, 2003.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
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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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Vern Paulsen; B Bollobas; W Fulton; A Katok; F Kirwan; P Sarnak
ISBN: 9780511069499 0511069499
OCLC Number: 437069032
Description: 1 online resource (314 pages)
Contents: 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. 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.

Abstract:

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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