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Infinite Dimensional Analysis : a Hitchhiker's Guide

Author: Charalambos D Aliprantis; Kim C Border
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1999.
Edition/Format:   eBook : Document : English : Second, Completely revised and enlarged editionView all editions and formats
Database:WorldCat
Summary:
This book is intended for the student or researcher who could benefit from functional analytic methods, but who does not have an extensive background and does not plan to make a career as a functional analyst. It develops topology, convexity, Banach lattices, integration, correspondences (multifunctions), and the analytic approach to Markov processes. Many of the results were previously available only in esoteric  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Charalambos D Aliprantis; Kim C Border
ISBN: 9783662039618 3662039613
OCLC Number: 851371532
Description: 1 online resource (xx, 673 pages)
Contents: 1 Odds and ends --
2 Topology --
3 Metrizable spaces --
4 Measurability --
5 Topological vector spaces --
6 Normed spaces --
7 Riesz spaces --
8 Banach lattices --
9 Charges and measures --
10 Measures and topology --
11 Integrals --
12 Lp-spaces --
13 Riesz Representation Theorems --
14 Probability measures on metrizable spaces --
15 Spaces of sequences --
16 Correspondences --
17 Measurable correspondences --
18 Markov transitions --
19 Ergodicity --
References.
Responsibility: by Charalambos D. Aliprantis, Kim C. Border.

Abstract:

This book is intended for the student or researcher who could benefit from functional analytic methods, but who does not have an extensive background and does not plan to make a career as a functional analyst. It develops topology, convexity, Banach lattices, integration, correspondences (multifunctions), and the analytic approach to Markov processes. Many of the results were previously available only in esoteric monographs. The choice of material was motivated from problems in control theory and economics, although the material is more applicable than applied.

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