Infinite Dimension Analysis: A Hitchhiker's Guide / Edition 2

Infinite Dimension Analysis: A Hitchhiker's Guide / Edition 2

by Charalambos D. Aliprantis, Kim C. Border
     
 

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. See more details below

Overview

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.

Product Details

ISBN-13:
9783540658542
Publisher:
Springer-Verlag New York, LLC
Publication date:
08/01/1999
Edition description:
ENLARGED
Pages:
672
Product dimensions:
6.16(w) x 9.28(h) x 1.53(d)

Table of Contents

Preface to the second edition
Preface to the first edition
A foreword to the practical
1Odds and ends1
2Topology19
3Metrizable spaces69
4Measurability123
5Topological vector spaces161
6Normed spaces237
7Riesz spaces263
8Banach lattices301
9Charges and measures331
10Measures and topology365
11Integrals395
12L[subscript p]-spaces427
13Riesz Representation Theorems455
14Probability measures on metrizable spaces473
15Spaces of sequences493
16Correspondences523
17Measurable correspondences557
18Markov transitions587
19Ergodicity621
References635
Index651

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