Completely Bounded Maps and Operator Algebras

Vern Paulsen

312 pages, parution le 25/03/2003

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Indisponible

Résumé

In this book the reader is provided with a tour of the principal results and ideas in the theories of completely positive maps, completely bounded maps, dilation theory, operator spaces and operator algebras, together with some of their main applications.

The author assumes only that the reader has a basic background in functional analysis, and the presentation is self-contained and paced appropriately for graduate students new to the subject. Experts will also want this book for their library since the author illustrates the power of methods he has developed with new and simpler proofs of some of the major results in the area, many of which have not appeared earlier in the literature.

An indispensable introduction to the theory of operator spaces for all who want to know more.

Contents

Introduction
Positive maps
Completely positive maps
Dilation theorems
Commuting contractions of Hilbert Space
Completely positive maps into M_n
Arveson's extension theorems
Completely bounded maps
Completely bounded homomorphisms
Polynomially bounded and power-bounded operators
Applications to K-spectral sets
Tensor products and joint spectral sets
Abstract characterizations of operator systems and operator space
An operator space bestiary
Injective envelopes
Abstract operator algebras
Completely bounded multilinear maps and the Haagerup Tensor Norm
Universal operator algebras and factorization
Similarity and factorization.

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Vern Paulsen
Parution	25/03/2003
Nb. de pages	312
Format	15,5 x 23,5
Couverture	Relié
Poids	533g
Intérieur	Noir et Blanc
EAN13	9780521816694
ISBN13	978-0-521-81669-4