Similarity Problems and Completely Bounded Maps: v. 1618 (Lecture Notes in Mathematics) - Softcover

Pisier, Gilles

 
9783540603221: Similarity Problems and Completely Bounded Maps: v. 1618 (Lecture Notes in Mathematics)

Inhaltsangabe

This volume is mainly about three similarity problems arising in three different contexts, namely group representations, C-algebras and uniform algebras. These three problems are studied using a common tool, completely bounded maps, which have recently emerged as a major concept in operator algebra theory. The book is devoted to the background necessary to understand these problems, to the partial solutions that are known and to numerous related concepts and results. The book is mostly self-contained and accessible to graduate students mastering basic functional and harmonic analysis. For advanced readers, it can be an invitation to the recently developed theory of "operator spaces", for which completely bounded maps are the fundamental morphisms.

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Reseña del editor

This book is mainly about three similarity problems arising in three different contexts, namely group representations, C*-algebras and uniform algebras (e.g. the disc algebra). These three problems (all still open in full generality) are studied using a common tool, completely bounded maps, which have recently emerged as a major concept in operator algebra theory. The book is devoted to the background necessary to understand these problems, to the partial solutions that are known and to numerous related concepts and results. The book is mostly self-contained and accessible to graduate students mastering basic functional and harmonic analysis. For advanced readers, it can be an invitation to the recently developed theory of "operator spaces", for which completely bounded maps are the fundamental morphisms.

Reseña del editor

This volume is mainly about three similarity problems arising in three different contexts, namely group representations, C-algebras and uniform algebras. These three problems are studied using a common tool, completely bounded maps, which have recently emerged as a major concept in operator algebra theory. The book is devoted to the background necessary to understand these problems, to the partial solutions that are known and to numerous related concepts and results. The book is mostly self-contained and accessible to graduate students mastering basic functional and harmonic analysis. For advanced readers, it can be an invitation to the recently developed theory of "operator spaces", for which completely bounded maps are the fundamental morphisms.

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Weitere beliebte Ausgaben desselben Titels

9783540415244: Similarity Problems and Completely Bounded Maps: 1618 (Lecture Notes in Mathematics, 1618)

Vorgestellte Ausgabe

ISBN 10:  3540415246 ISBN 13:  9783540415244
Verlag: Springer, 2001
Softcover