Infinite Dimensional Analysis: A Hitchhiker's Guide / Edition 3

Infinite Dimensional Analysis: A Hitchhiker's Guide / Edition 3

by Charalambos D. Aliprantis, Kim Border
     
 

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ISBN-10: 3540326960

ISBN-13: 9783540326960

Pub. Date: 05/17/2007

Publisher: Springer Berlin Heidelberg

What you’ll find in this monograph is nothing less than a complete and rigorous study of modern functional analysis. It is intended for the student or researcher who could benefit from functional analytic methods, but who does not have an extensive background in the subject and does not plan to make a career as a functional analyst. It develops the

Overview

What you’ll find in this monograph is nothing less than a complete and rigorous study of modern functional analysis. It is intended for the student or researcher who could benefit from functional analytic methods, but who does not have an extensive background in the subject and does not plan to make a career as a functional analyst. It develops the topological structures in connection with a number of topic areas such as measure theory, convexity, and Banach lattices, as well as covering the analytic approach to Markov processes. Many of the results were previously available only in works scattered throughout the literature.

Product Details

ISBN-13:
9783540326960
Publisher:
Springer Berlin Heidelberg
Publication date:
05/17/2007
Edition description:
3rd ed. 2006
Pages:
704
Product dimensions:
6.10(w) x 9.25(h) x 0.06(d)

Table of Contents

Odds and ends.- Topology.- Metrizable spaces.- Measurability.- Topological vector spaces.- Normed spaces.- Convexity.- Riesz spaces.- Banach lattices.- Charges and measures.- Integrals.- Measures and topology.- Lp-spaces.- Riesz Representation Theorems.- Probability measures.- Spaces of sequences.- Correspondences.- Measurable correspondences.- Markov transitions.- Ergodicity.

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