Introduction to Banach Spaces: Analysis and Probability: Volume 1

ISBN-13: 9781107160514 / Angielski / Twarda / 2017 / 460 str.

Daniel Li; Herve Queffelec; Daniele Gibbons

Opis

This first volume of a two-volume overview covers the basic theory of Banach spaces, harmonic analysis and probability.

Recenzje

'The book contains a lot of interesting and deep results on Banach spaces and harmonic analysis treated, with the methods of probability theory. It can be used for advanced courses in functional analysis, but also by professional mathematicians as a valuable source of information.' S. Cobzas, Mathematica

Spis treści

Preface; Preliminary chapter; 1. Fundamental notions of probability; 2. Bases in Banach spaces; 3. Unconditional convergence; 4. Banach space valued random variables; 5. Type and cotype of Banach spaces. Factorisation through a Hilbert space; 6. p-summing operators. Applications; 7. Some properties of Lp-spaces; 8. The space l1; Annex. Banach algebras, compact Abelian groups; Bibliography; Author index; Notation index; Subject index.