Probability in Banach Spaces

LeDoux, Michel

ISBN 10: 0387520139 / ISBN 13: 9780387520131

Published by Springer, 2002

About this Item

***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Sewn binding. Cloth over boards. 480 p. Inverse Problems and Theoretical Imaging, 3. Audience: General/trade.

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Bibliographic Details

• Title: Probability in Banach Spaces
• Publisher: Springer
• Publication Date: 2002
• Language: English
• ISBN 10: 0387520139
• ISBN 13: 9780387520131
• Binding: Trade paperback
• Edition: First edition.
• Condition: New in new dust jacket.

About this title

Synopsis

Isoperimetric, measure concentration and random process techniques appear at the basis of the modern understanding of Probability in Banach spaces. Based on these tools, the book presents a complete treatment of the main aspects of Probability in Banach spaces (integrability and limit theorems for vector valued random variables, boundedness and continuity of random processes) and of some of their links to Geometry of Banach spaces (via the type and cotype properties). Its purpose is to present some of the main aspects of this theory, from the foundations to the most important achievements. The main features of the investigation are the systematic use of isoperimetry and concentration of measure and abstract random process techniques (entropy and majorizing measures). Examples of these probabilistic tools and ideas to classical Banach space theory are further developed.

Review

This book gives an excellent, almost complete account of the whole subject of probability in Banach spaces, a branch of probability theory that has undergone vigorous development... There is no doubt in the reviewer's mind that this book [has] become a classic.

                                                                           MathSciNet

As the authors state, "this book tries to present some of the main aspects of the theory of probability in Banach spaces, from the foundation of the topic to the latest developments and current research questions''. The authors have succeeded admirably...  This very comprehensive book develops a wide variety of the methods existing ... in probability in Banach spaces. ... It [has] become an event for mathematicians...                                            

                                                                  Zentralblatt MATH