Introduction to Banach Spaces: Analysis and Probability: Volume 1
eBook - PDF

Introduction to Banach Spaces: Analysis and Probability: Volume 1

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

Introduction to Banach Spaces: Analysis and Probability: Volume 1

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. In volume 2, 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 1 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. Series information
  4. Title page
  5. Copyright information
  6. Dedication
  7. Contents of Volume 1
  8. Contents of Volume 2
  9. Preface
  10. Preliminary Chapter Weak and Weak* Topologies. Filters, Ultrafilters. Ordinals
  11. 1 Fundamental Notions of Probability
  12. 2 Bases in Banach Spaces
  13. 3 Unconditional Convergence
  14. 4 Banach Space Valued Random Variables
  15. 5 Type and Cotype of Banach Spaces. Factorization through a Hilbert Space
  16. 6 p-Summing Operators. Applications
  17. 7 Some Properties of L[sup(p)]-Spaces
  18. 8 The Space [ell[sub(1)]]
  19. Annex Banach Algebras. Compact Abelian Groups
  20. References
  21. Notation Index for Volume 1
  22. Author Index for Volume 1
  23. Subject Index for Volume 1
  24. Notation Index for Volume 2
  25. Author Index for Volume 2
  26. Subject Index for Volume 2