ENGLISH

Orthonormal systems and Banach space geometry

By Albrecht Pietsch , Jörg Wenzel

Book information

Publisher
Cambridge University Press
Year
1998
ISBN
9780511526145, 0521624622, 0521054311, 0511526148, 9780521054317, 9780521624626
LCC
QA322.2 .P54 1998
Open Library ID
OL494783M
Language
english
Format
DJVU
Filesize
3 MB (2773043 bytes)
Series
Encyclopedia of Mathematics and its Applications
Pages
561\561
Library
Kolxo3
DPI
300
Time added
2010-07-29 05:14:56

Description

Orthonormal Systems and Banach Space Geometry describes the interplay between orthonormal expansions and Banach space geometry. Using harmonic analysis as a starting platform, classical inequalities and special functions are used to study orthonormal systems leading to an understanding of the advantages of systems consisting of characters on compact Abelian groups. Probabilistic concepts such as random variables and martingales are employed and Ramsey's theorem is used to study the theory of super-reflexivity. The text yields a detailed insight into concepts including type and co-type of Banach spaces, B-convexity, super-reflexivity, the vector-valued Fourier transform, the vector-valued Hilbert transform and the unconditionality property for martingale differences (UMD). A long list of unsolved problems is included as a starting point for research. This book should be accessible to graduate students and researchers with some basic knowledge of Banach space theory, real analysis, probability and algebra.

Similar books