Martingales in Banach Spaces
eBook - PDF

Martingales in Banach Spaces

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

Martingales in Banach Spaces

About this book

This book focuses on the major applications of martingales to the geometry of Banach spaces, and a substantial discussion of harmonic analysis in Banach space valued Hardy spaces is also presented. It covers exciting links between super-reflexivity and some metric spaces related to computer science, as well as an outline of the recently developed theory of non-commutative martingales, which has natural connections with quantum physics and quantum information theory. Requiring few prerequisites and providing fully detailed proofs for the main results, this self-contained study is accessible to graduate students with a basic knowledge of real and complex analysis and functional analysis. Chapters can be read independently, with each building from the introductory notes, and the diversity of topics included also means this book can serve as the basis for a variety of graduate courses.

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
At the moment all of our mobile-responsive ePub books are available to download via the app. Most of our PDFs are also available to download and we're working on making the final remaining ones downloadable now. Learn more here.
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Martingales in Banach Spaces by Gilles Pisier in PDF and/or ePUB format, as well as other popular books in Mathématiques & Algèbre abstraite. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half title
  3. Series
  4. Title
  5. Copyright
  6. Contents
  7. Introduction
  8. Description of the contents
  9. 1 Banach space valued martingales
  10. 2 Radon-Nikodm property
  11. 3 Harmonic functions and RNP
  12. 4 Analytic functions and ARNP
  13. 5 The UMD property for Banach spaces
  14. 6 The Hilbert transform and UMD Banach spaces
  15. 7 Banach space valued H[sup(1)] and BMO
  16. 8 Interpolation methods (complex and real)
  17. 9 The strong p-variation of scalar valued martingales
  18. 10 Uniformly convex Banach space valued martingales
  19. 11 Super-reflexivity
  20. 12 Interpolation between strong p-variation spaces
  21. 13 Martingales and metric spaces
  22. 14 An invitation to martingales in non-commutative Lp-spaces*
  23. Bibliography
  24. Index