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Completely bounded maps and operator algebras

Author: Vern I Paulsen
Publisher: Cambridge ; New York : Cambridge University Press, 2002.
Series: Cambridge studies in advanced mathematics, 78.
Edition/Format:   eBook : 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
Additional Physical Format: Print version:
Paulsen, Vern I., 1951-
Completely bounded maps and operator algebras.
Cambridge ; New York : Cambridge University Press, 2002
(DLC) 2002024624
Material Type: Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Vern I Paulsen
ISBN: 051106103X 9780511061035 9780511546631 0511546637 0521816696 9780521816694
OCLC Number: 228110971
Description: 1 online resource (xii, 300 pages) : illustrations.
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.
Series Title: Cambridge studies in advanced mathematics, 78.
Responsibility: Vern Paulsen.
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Abstract:

This book, first published in 2003, is an indispensable introduction to the theory of operator spaces for graduate students and experts alike.  Read more...

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'This book has been written by one of the leading figures in the field. the choice of the presented material has been done in a masterly manner ... an excellent introduction to this theory for Read more...

 
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