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Geometric Nonlinear Functional Analysis: Volume 1

About this Title

Yoav Benyamini, Technion—Israel Institute of Technology, Haifa, Israel and Joram Lindenstrauss, Hebrew University, Jerusalem, Israel

Publication: Colloquium Publications
Publication Year: 2000; Volume 48
ISBNs: 978-0-8218-0835-1 (print); 978-1-4704-3194-5 (online)
DOI: https://doi.org/10.1090/coll/048
MathSciNet review: MR1727673
MSC: Primary 46-02; Secondary 46Bxx, 46T99, 47-02

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Table of Contents

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Front/Back Matter

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Chapters

• Introduction
• Chapter 1. Retractions, extensions and selections
• Chapter 2. Retractions, extensions and selections (special topics)
• Chapter 3. Fixed points
• Chapter 4. Differentiation of convex functions
• Chapter 5. The Radon-Nikodým property
• Chapter 6. Negligible sets and Gâteaux differentiability
• Chapter 7. Lipschitz classification of Banach spaces
• Chapter 8. Uniform embeddings into Hilbert space
• Chapter 9. Uniform classification of spheres
• Chapter 10. Uniform classification of Banach spaces
• Chapter 11. Nonlinear quotient maps
• Chapter 12. Oscillation of uniformly continuous functions on unit spheres of finite-dimensional subspaces
• Chapter 13. Oscillation of uniformly continuous functions on unit spheres of infinite-dimensional subspaces
• Chapter 14. Perturbations of local isometries
• Chapter 15. Perturbations of global isometries
• Chapter 16. Twisted sums
• Chapter 17. Group structure on Banach spaces
• Appendices