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The Metric Theory of Tensor Products: Grothendieck’s Résumé Revisited

About this Title

Joe Diestel, Kent State University, Kent, OH, Jan H. Fourie, North-West University, Potchefstroom, South Africa and Johan Swart, University of Pretoria, Pretoria, South Africa

Publication: Miscellaneous Books
Publication Year: 2008; Volume 52
ISBNs: 978-0-8218-4440-3 (print); 978-1-4704-2483-1 (online)
DOI: https://doi.org/10.1090/mbk/052
MathSciNet review: MR2428264
MSC: Primary 46-02; Secondary 46B03, 46B04, 46B28, 46M05, 47B10, 47L20

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Table of Contents

Front/Back Matter

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Chapters

• Chapter 1. Basics on tensor norms
• Chapter 2. The role of $C(K)$-spaces and $L^1$-spaces
• Chapter 3. $\otimes $-norms related to Hilbert space
• Chapter 4. The fundamental theorem and its consequences
• Glossary of terms
• Appendix A. The problems of the Résumé
• Appendix B. The Blaschke selection principle and compact convex sets in finite dimensional Banach spaces
• Appendix C. A short introduction to Banach lattices
• Appendix D. Stonean spaces and injectivity
• Epilogue

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