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Completely bounded maps and operator algebras /

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...

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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Paulsen, Vern I., 1951-
Format: Électronique eBook
Langue:Inglés
Publié: Cambridge ; New York : Cambridge University Press, 2002.
Collection:Cambridge studies in advanced mathematics ; 78.
Sujets:
Accès en ligne:Texto completo
Table des matières:
  • 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.