Introduction to Banach Spaces: Analysis and Probability: Volume 2
eBook - PDF

Introduction to Banach Spaces: Analysis and Probability: Volume 2

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Introduction to Banach Spaces: Analysis and Probability: Volume 2

About this book

This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. Four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.

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Yes, you can access Introduction to Banach Spaces: Analysis and Probability: Volume 2 by Daniel Li,Hervé Queffélec, Danièle Gibbons,Greg Gibbons in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title
  3. Seires information
  4. Title page
  5. Copyright information
  6. Dedication
  7. Contents of Volume 2
  8. Contents of Volume 1
  9. Preface
  10. 1 Euclidean Sections
  11. 2 Separable Banach Spaces without the Approximation Property
  12. 3 Gaussian Processes
  13. 4 Reflexive Subspaces of L[sup(1)]
  14. 5 The Method of Selectors. Examples of Its Use
  15. 6 The Pisier Space of Almost Surely Continuous Functions. Applications
  16. Appendix A News in the Theory of Infinite-Dimensional Banach Spaces in the Past 20 Years
  17. Appendix B An Update on Some Problems in High-Dimensional Convex Geometry and Related Probabilistic Results
  18. Appendix C A Few Updates and Pointers
  19. Appendix D On the Mesh Condition for Sidon Sets
  20. References
  21. Notation Index for Volume 2
  22. Author Index for Volume 2
  23. Subject Index for Volume 2
  24. Notation Index for Volume 1
  25. Author Index for Volume 1
  26. Subject Index for Volume 1