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Book Cover
E-book
Author Paulsen, Vern I., 1951-

Title Completely bounded maps and operator algebras / Vern Paulsen
Published Cambridge ; New York : Cambridge University Press, 2002

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Description 1 online resource (xii, 300 pages) : illustrations
Series Cambridge studies in advanced mathematics ; 78
Cambridge studies in advanced mathematics ; 78.
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
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
Bibliography Includes bibliographical references (pages 285-295) and index
Notes English
Print version record
Subject Operator algebras.
Dilation theory (Operator theory)
Mappings (Mathematics)
MATHEMATICS -- Algebra -- Linear.
Dilation theory (Operator theory)
Mappings (Mathematics)
Operator algebras
Abbildung Mathematik
Dilatation
Operatoralgebra
Form Electronic book
ISBN 051106103X
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9780511546631
0511546637
0521816696
9780521816694
1107134536
9781107134539
1280420081
9781280420085
9786610420087
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9781139148399
0511169604
9780511169601
0511302738
9780511302732