Geometric Aspects of Functional Analysis : Israel Seminar (GAFA) 1996-2000,9783540410706

Geometric Aspects of Functional Analysis : Israel Seminar (GAFA) 1996-2000

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ISBN13: 9783540410706
ISBN10: 3540410708
Format: Paperback
Pub. Date: 2000-10-01
Publisher(s): Springer Verlag
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Summary

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.

Table of Contents

The Transportation Cost for the Cube
1(12)
M. Anttila
The Uniform Concentration of Measure Phenomenon in lnp (1≤p≤2)
13(6)
J. Arias-de-Reyna
R. Villa
An Editorial Comment on the Preceding Paper
19(2)
G. Schechtman
A Remark on the Slicing Problem
21(6)
K. Ball
Remarks on the Growth of Lp-norms of Polynomials
27(10)
S.G. Bobkov
Positive Lyapounov Exponents for Most Energies
37(30)
J. Bourgain
Anderson Localization for the Band Model
67(14)
J. Bourgain
S. Jitomirskaya
Convex Bodies with Minimal Mean Width
81(14)
A.A. Giannopoulos
V.D. Milman
M. Rudelson
Euclidean Projections of a p-convex Body
95(14)
O. Guedon
A.E. Litvak
Remarks on Minkowski Symmetrizations
109(10)
B. Klartag
Average Volume of Sections of Star Bodies
119(28)
A. Koldobsky
M. Lifshits
Between Sobolev and Poincare
147(22)
R. Latata
K. Oleszkiewicz
Random Aspects of High-dimensional Convex Bodies
169(22)
A.E. Litvak
N. Tomczak-Jaegermann
A Geometric Lemma and Duality of Entropy Numbers
191(32)
V.D. Milman
S.J. Szarek
Stabilized Asymptotic Structures and Envelopes in Banach Spaces
223(16)
V.D. Milman
N. Tomczak-Jaegermann
On the Isotropic Constant of Non-symmetric Convex Bodies
239(6)
G. Paouris
Concentration on the lnp Ball
245(12)
G. Schechtman
J. Zinn
Shannon's Entropy Power Inequality via Restricted Minkowski Sums
257(6)
S.J. Szarek
D. Voiculescu
Notes on an Inequality by Pisier for Functions on the Discrete Cube
263(6)
R. Wagner
More on Embedding Subspaces of Lp into lNp, 0≤p≤1
269(12)
A. Zvavitch
Seminar Talks (with related Workshop and Conference Talks) 281

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