Theory of Operator Spaces - Brossura

Effros, Edward G.; Ruan, Zhong-Jin

9781470465056: Theory of Operator Spaces

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ISBN 10: 1470465051 ISBN 13: 9781470465056

Casa editrice: Chelsea Pub Co, 2022

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Effros and Ruan present the main results and ideas in the theories of completely bounded maps, operator spaces, and operator algebras, along with some of their main applications. The material requires only a basic background in functional analysis, they say, and would be appropriate for graduate students new to the field. They cover examples and three basic theorems, tensor products, the Grothendieck program, local theory and integrality, and some algebraic applications. Annotation �2022 Ringgold, Inc., Portland, OR (protoview.com)

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Editore: Chelsea Pub Co
Data di pubblicazione: 2022
Lingua: Inglese
ISBN 10: 1470465051
ISBN 13: 9781470465056
Rilegatura: Copertina flessibile
Numero di pagine: 358
Contatto del produttore: non disponibile
Persona responsabile: non disponibile

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Theory of Operator Spaces

Edward G. Effros

Editore: American Mathematical Society, 2022

ISBN 10: 1470465051 ISBN 13: 9781470465056

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Theory of Operator Spaces (Paperback)

Edward G. Effros

Editore: American Mathematical Society, Providence, 2022

ISBN 10: 1470465051 ISBN 13: 9781470465056

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Paperback. Condizione: new. Paperback. This book provides the main results and ideas in the theories of completely bounded maps, operator spaces, and operator algebras, along with some of their main applications. It requires only a basic background in functional analysis to read through the book. The descriptions and discussions of the topics are self-explained. It is appropriate for graduate students new to the subject and the field.The book starts with the basic representation theorems for abstract operator spaces and their mappings, followed by a discussion of tensor products and the analogue of Grothendieck's approximation property. Next, the operator space analogues of the nuclear, integral, and absolutely summing mappings are discussed. In what is perhaps the deepest part of the book, the authors present the remarkable ""non-classical"" phenomena that occur when one considers local reflexivity and exactness for operator spaces. This is an area of great beauty and depth, and it represents one of the triumphs of the subject. In the final part of the book, the authors consider applications to non-commutative harmonic analysis and non-self-adjoint operator algebra theory.Operator space theory provides a synthesis of Banach space theory with the non-commuting variables of operator algebra theory, and it has led to exciting new approaches in both disciplines. This book is an indispensable introduction to the theory of operator spaces. Provides the main results and ideas in the theories of completely bounded maps, operator spaces, and operator algebras, along with some of their main applications. The descriptions and discussions of the topics are self-explained. The book is appropriate for graduate students new to the subject and the field. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9781470465056

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Theory of Operator Spaces

Edward G. Effros

Editore: MP-AMM American Mathematical, 2022

ISBN 10: 1470465051 ISBN 13: 9781470465056

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Theory of Operator Spaces

Zhong-Jin Ruan, Edward G. Effros

Editore: American Mathematical Society, US, 2022

ISBN 10: 1470465051 ISBN 13: 9781470465056

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Da: Rarewaves.com USA, London, LONDO, Regno Unito

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Paperback. Condizione: New. This book provides the main results and ideas in the theories of completely bounded maps, operator spaces, and operator algebras, along with some of their main applications. It requires only a basic background in functional analysis to read through the book. The descriptions and discussions of the topics are self-explained. It is appropriate for graduate students new to the subject and the field.The book starts with the basic representation theorems for abstract operator spaces and their mappings, followed by a discussion of tensor products and the analogue of Grothendieck's approximation property. Next, the operator space analogues of the nuclear, integral, and absolutely summing mappings are discussed. In what is perhaps the deepest part of the book, the authors present the remarkable ""non-classical"" phenomena that occur when one considers local reflexivity and exactness for operator spaces. This is an area of great beauty and depth, and it represents one of the triumphs of the subject. In the final part of the book, the authors consider applications to non-commutative harmonic analysis and non-self-adjoint operator algebra theory.Operator space theory provides a synthesis of Banach space theory with the non-commuting variables of operator algebra theory, and it has led to exciting new approaches in both disciplines. This book is an indispensable introduction to the theory of operator spaces. Codice articolo LU-9781470465056

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