Geometric Aspects of Functional Analysis
Subtitle: Israel Seminar 1996-2000 (Lecture Notes in Mathematics)
Contributors: V.D. Milman (Editor); G. Schechtman (Editor)
Edition: 1 edition
Publisher: Springer
Published: November 27, 2000
Language: eng
Format: Paperback
Number of pages: 287
ISBN-13: 9783540410706
Subjects: Probability & statistics; Topology - General; Geometry; Congresses; Mathematics; Science/Mathematics; Geometry - General; General; Mathematical Analysis; Transformations; 46-06; 52-06; 60-06; Mathematics / Functional Analysis; Mathematics / Transformations; Mathematics-Mathematical Analysis; Medical-General; Banach Spaces; Functional Analysis
First sentence: In this paper we prove a deviation inequality for the cube using a method developed by K. Marton to show similar results for Markov chains.
Description: This volume of original research papers from the Israeli GAFA seminar during the years 1996-2000 not only reports on more traditional directions of Geometric Functional Analysis, but also reflects on some of the recent new trends in Banach Space Theory and related topics. These include the tighter connection with convexity and the resulting added emphasis on convex bodies that are not necessarily centrally symmetric, and the treatment of bodies which have only very weak convex-like structure. Another topic represented here is the use of new probabilistic tools; in particular transportation of measure methods and new inequalities emerging from Poincaré-like inequalities.