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

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More About This Textbook

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.
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Product Details

  • ISBN-13: 9783540658542
  • Publisher: Springer-Verlag New York, LLC
  • Publication date: 8/1/1999
  • Edition description: ENLARGED
  • Edition number: 2
  • 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
1 Odds and ends 1
2 Topology 19
3 Metrizable spaces 69
4 Measurability 123
5 Topological vector spaces 161
6 Normed spaces 237
7 Riesz spaces 263
8 Banach lattices 301
9 Charges and measures 331
10 Measures and topology 365
11 Integrals 395
12 L[subscript p]-spaces 427
13 Riesz Representation Theorems 455
14 Probability measures on metrizable spaces 473
15 Spaces of sequences 493
16 Correspondences 523
17 Measurable correspondences 557
18 Markov transitions 587
19 Ergodicity 621
References 635
Index 651
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