TY  - GEN
AU  - Li, Daniel
AU  - Queffélec, Hervé
TI  - Introduction to Banach spaces: analysis and probability, Vol.1
SN  - 9781107160514
U1  - 515.732 
PY  - 2004///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Banach spaces
KW  - Probabilities
KW  - Measure theory
KW  - Numerical analysis	
KW  - Probability measures
KW  - Functional analysis
N1  - Formerly CIP.
Includes bibliographical references and indexes
N2  - This two-volume text provides a complete overview of the theory of Banach spaces, emphasizing its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. Four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition
ER  -