Martingales in Banach Spaces
Book Details
Format
Hardback or Cased Book
Book Series
Cambridge Studies in Advanced Mathematics
ISBN-10
1107137241
ISBN-13
9781107137240
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
US
Country of Publication
GB
Publication Date
Jun 6th, 2016
Print length
590 Pages
Weight
1,028 grams
Dimensions
16.20 x 23.50 x 3.70 cms
Ksh 12,450.00
Manufactured on Demand
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Martingales arise in many areas of probability theory. This book focuses on their applications to the geometry of Banach spaces and discusses the interplay of Banach space valued martingales with various other areas of analysis. It is accessible to graduates with a basic knowledge of real and complex analysis.
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.
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