Tensor Norms And Operator Ideals

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Tensor Norms And Operator Ideals

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Author : A. Defant
language : en
Publisher: Elsevier
Release Date : 1992-11-26

Tensor Norms And Operator Ideals written by A. Defant and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-11-26 with Mathematics categories.

The three chapters of this book are entitled Basic Concepts, Tensor Norms, and Special Topics. The first may serve as part of an introductory course in Functional Analysis since it shows the powerful use of the projective and injective tensor norms, as well as the basics of the theory of operator ideals. The second chapter is the main part of the book: it presents the theory of tensor norms as designed by Grothendieck in the Resumé and deals with the relation between tensor norms and operator ideals. The last chapter deals with special questions. Each section is accompanied by a series of exercises.

Tensor Norms And Operator Ideals

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Author : A. Defant
language : en
Publisher: North Holland
Release Date : 1992-11-22

Tensor Norms And Operator Ideals written by A. Defant and has been published by North Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-11-22 with Mathematics categories.

The three chapters of this book are entitled Basic Concepts, Tensor Norms, and Special Topics. The first may serve as part of an introductory course in Functional Analysis since it shows the powerful use of the projective and injective tensor norms, as well as the basics of the theory of operator ideals. The second chapter is the main part of the book: it presents the theory of tensor norms as designed by Grothendieck in the Resumé and deals with the relation between tensor norms and operator ideals. The last chapter deals with special questions. Each section is accompanied by a series of exercises.

Introduction To Tensor Products Of Banach Spaces

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Author : Raymond A. Ryan
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Introduction To Tensor Products Of Banach Spaces written by Raymond A. Ryan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.

This is the first ever truly introductory text to the theory of tensor products of Banach spaces. Coverage includes a full treatment of the Grothendieck theory of tensor norms, approximation property and the Radon-Nikodym Property, Bochner and Pettis integrals. Each chapter contains worked examples and a set of exercises, and two appendices offer material on summability in Banach spaces and properties of spaces of measures.

History Of Banach Spaces And Linear Operators

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Author : Albrecht Pietsch
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-31

History Of Banach Spaces And Linear Operators written by Albrecht Pietsch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-31 with Mathematics categories.

Written by a distinguished specialist in functional analysis, this book presents a comprehensive treatment of the history of Banach spaces and (abstract bounded) linear operators. Banach space theory is presented as a part of a broad mathematics context, using tools from such areas as set theory, topology, algebra, combinatorics, probability theory, logic, etc. Equal emphasis is given to both spaces and operators. The book may serve as a reference for researchers and as an introduction for graduate students who want to learn Banach space theory with some historical flavor.

The Metric Theory Of Tensor Products

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Author : Joseph Diestel
language : en
Publisher: American Mathematical Soc.
Release Date : 2008-01-01

The Metric Theory Of Tensor Products written by Joseph Diestel and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Mathematics categories.

Famed mathematician Alexander Grothendieck, in his Resume, set forth his plan for the study of the finer structure of Banach spaces. He used tensor products as a foundation upon which he built the classes of operators most important to the study of Banach spaces and established the importance of the "local" theory in the study of these operators and the spaces they act upon. When Lintenstrauss and Pelczynski addressed his work at the rebirth of Banach space theory, they shed his Fundamental Inequality in the trappings of operator ideals by shedding the tensorial formulation. The authors of this book, however, feel that there is much of value in Grothendieck's original formulations in the Resume and here endeavor to "expose the Resume" by presenting most of Grothendieck's arguments using the mathematical tools that were available to him at the time.

Functors And Categories Of Banach Spaces

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Author : P.W. Michor
language : en
Publisher: Springer
Release Date : 2006-11-15

Functors And Categories Of Banach Spaces written by P.W. Michor and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

Recent Advances In Operator Theory Operator Algebras And Their Applications

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Author : Dumitru Gaspar
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30

Recent Advances In Operator Theory Operator Algebras And Their Applications written by Dumitru Gaspar and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-30 with Mathematics categories.

This book offers peer-reviewed articles from the 19th International Conference on Operator Theory, Summer 2002. It contains recent developments in a broad range of topics from operator theory, operator algebras and their applications, particularly to differential analysis, complex functions, ergodic theory, mathematical physics, matrix analysis, and systems theory. The book covers a large variety of topics including single operator theory, C*-algebras, diffrential operators, integral transforms, stochastic processes and operators, and more.

Descriptive Topology And Functional Analysis Ii

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Author : Juan Carlos Ferrando
language : en
Publisher: Springer
Release Date : 2019-06-02

Descriptive Topology And Functional Analysis Ii written by Juan Carlos Ferrando and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-02 with Mathematics categories.

This book is the result of a meeting on Topology and Functional Analysis, and is dedicated to Professor Manuel López-Pellicer's mathematical research. Covering topics in descriptive topology and functional analysis, including topological groups and Banach space theory, fuzzy topology, differentiability and renorming, tensor products of Banach spaces and aspects of Cp-theory, this volume is particularly useful to young researchers wanting to learn about the latest developments in these areas.

Orthonormal Systems And Banach Space Geometry

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Author : Albrecht Pietsch
language : en
Publisher: Cambridge University Press
Release Date : 1998-09-10

Orthonormal Systems And Banach Space Geometry written by Albrecht Pietsch and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-09-10 with Mathematics categories.

This book describes the interplay between orthonormal expansions and Banach space geometry.

Banach Function Algebras Arens Regularity And Bse Norms

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Author : Harold Garth Dales
language : en
Publisher: Springer Nature
Release Date :

Banach Function Algebras Arens Regularity And Bse Norms written by Harold Garth Dales and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.