Similarity Problems and Completely Bounded Maps: v. 1618 - Brossura

Pisier, Gilles

Brossura

ISBN 10: 3540603220 ISBN 13: 9783540603221

Casa editrice: Springer Verlag, 1995

Riassunto

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.

Su questo libro

Dalla quarta di copertina

This book is mainly about 3 similarity problems arising in 3 different contexts, namely group representations,C*-algebras and uniform algebras (eg. the disc algebra). These 3 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, results, counterexamples or extensions. The variety of topics involved, ranging from functional analysis to harmonic analysis, Hp-spaces, Fourier multipliers, Schur multipliers, coefficients of group representations, group algebras, characterizations of amenable groups, nuclear C*-algebras, Hankel operators, etc, is an attraction of this book. It is mostly self-contained and accessible to graduate students mastering basic functional and harmonic analysis. For more advanced readers, it can be an invitation to the recently developed theory of "operator spaces", for which completely bounded maps are the fundamental morphisms.

Dettagli dell'edizione

• Editore: Springer Verlag
• Data di pubblicazione: 1995
• Lingua: Inglese
• ISBN 10: 3540603220
• ISBN 13: 9783540603221
• Rilegatura: Copertina flessibile
• Numero di pagine: 156
• Contatto del produttore: non disponibile
• Persona responsabile: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Germania