Banach Space Theory

The Basis for Linear and Nonlinear Analysis

ISBN: 978-1-4419-7514-0 (Print) 978-1-4419-7515-7 (Online)

Table of contents (17 chapters)

  1. Front Matter

    Pages i-xiii

  2. Chapter

    Pages 1-52

    Basic Concepts in Banach Spaces

  3. Chapter

    Pages 53-81

    Hahn–Banach and Banach Open Mapping Theorems

  4. Chapter

    Pages 83-177

    Weak Topologies and Banach Spaces

  5. Chapter

    Pages 179-235

    Schauder Bases

  6. Chapter

    Pages 237-289

    Structure of Banach Spaces

  7. Chapter

    Pages 291-330

    Finite-Dimensional Spaces

  8. Chapter

    Pages 331-382

    Optimization

  9. Chapter

    Pages 383-427

    C 1-Smoothness in Separable Spaces

  10. Chapter

    Pages 429-463

    Superreflexive Spaces

  11. Chapter

    Pages 465-477

    Higher Order Smoothness

  12. Chapter

    Pages 479-519

    Dentability and Differentiability

  13. Chapter

    Pages 521-574

    Basics in Nonlinear Geometric Analysis

  14. Chapter

    Pages 575-616

    Weakly Compactly Generated Spaces

  15. Chapter

    Pages 617-656

    Topics in Weak Topologies on Banach Spaces

  16. Chapter

    Pages 657-685

    Compact Operators on Banach Spaces

  17. Chapter

    Pages 687-732

    Tensor Products

  18. Chapter

    Pages 733-749

    Appendix

  19. Back Matter

    Pages 751-820