Probability in Banach spaces
Subtitle: isoperimetry and processes
By: Michel Ledoux, Michel Talagrand
Contributors: Talagrand, Michel, 1952-
Series: Classics in mathematics; Classics in mathematics
Publisher: Springer
Published: 2011
Place of publication: Berlin; London
Language: eng
Number of pages: 480
ISBN-13: 9783642202117; 9783642202124
Subjects: Probabilities; Banach spaces
Description: 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.
Notes: "Reprint of the 1991 edition"

Includes bibliographical references (p. 461-477) and index