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Tensor Norms and Operator Ideals

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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.

Author(s): Andreas Defant and Klaus Floret (Eds.)
Series: North-Holland Mathematics Studies 176
Publisher: Elsevier Science & Technology
Year: 1993

Language: English
Pages: iii-iv, 1-566

Content:
Edited by
Page iii

Copyright page
Page iv

Introduction
Pages 1-6
Andreas Defant, Klaus Floret

Chapter I Basic Concepts
Pages 7-145

Chapter II Tensor Norms
Pages 146-364

Chapter III Special Topics
Pages 365-488

Appendix A: Some Structural Properties of Banach Spaces
Pages 489-526

Bibliography
Pages 527-544

List of Symbols
Pages 545-554

Index
Pages 555-566