Probability in Banach Spaces : Isoperimetry and Processes

Probability in Banach Spaces : Isoperimetry and Processes - Classics in Mathematics

2011. Reprint of the 1st ed. 1991, Springer Berlin Heidelberg

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Publisher's 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.

Book information

ISBN: 9783642202117
Publisher: Springer Berlin Heidelberg
Imprint: Springer
Pub date:
Edition: 2011. Reprint of the 1st ed. 1991, Springer Berlin Heidelberg
DEWEY: 519.2
DEWEY edition: 23
Language: English
Number of pages: 480
Weight: 759g
Height: 235mm
Width: 155mm
Spine width: 28mm