Gilles Pisier

Martingales in Banach Spaces

• Gebundenes Buch

Produktbeschreibung

This book focuses on applications of martingales to the geometry of Banach spaces, and is accessible to graduate students.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 590
• Erscheinungstermin: 9. Juni 2016
• Englisch
• Abmessung: 235mm x 157mm x 39mm
• Gewicht: 1097g
• ISBN-13: 9781107137240
• ISBN-10: 1107137241
• Artikelnr.: 45154618

Autorenporträt

Gilles Pisier is Emeritus Professor at the University of Paris VI, where he worked from 1981 to 2010. He is also a Distinguished Professor and holder of the Owen Chair in Mathematics at Texas A&M University. His international prizes include the Salem Prize in harmonic analysis (1979), the Ostrowski Prize (1997), and the Stefan Banach Medal (2001). He is a member of the Paris Académie des Sciences, a Foreign member of the Polish and Indian Academies of Science, and a Fellow of both the IMS and the AMS. He is also the author of several books, notably The Volume of Convex Bodies and Banach Space Geometry (Cambridge, 1989) and Introduction to Operator Space Theory (Cambridge, 2003).

Inhaltsangabe

Introduction
Description of the contents
1. Banach space valued martingales
2. Radon Nikodým property
3. Harmonic functions and RNP
4. Analytic functions and ARNP
5. The UMD property for Banach spaces
6. Hilbert transform and UMD Banach spaces
7. Banach space valued H1 and BMO
8. Interpolation methods
9. The strong p-variation of martingales
10. Uniformly convex of martingales
11. Super-reflexivity
12. Interpolation and strong p-variation
13. Martingales and metric spaces
14. Martingales in non-commutative LP *.