Infinite Dimensional Analysis

A Hitchhiker’s Guide

  • Charalambos D. Aliprantis
  • Kim C. Border

Table of contents

  1. Front Matter
    Pages i-xx
  2. Charalambos D. Aliprantis, Kim C. Border
    Pages 1-18
  3. Charalambos D. Aliprantis, Kim C. Border
    Pages 19-68
  4. Charalambos D. Aliprantis, Kim C. Border
    Pages 69-122
  5. Charalambos D. Aliprantis, Kim C. Border
    Pages 123-160
  6. Charalambos D. Aliprantis, Kim C. Border
    Pages 161-236
  7. Charalambos D. Aliprantis, Kim C. Border
    Pages 237-262
  8. Charalambos D. Aliprantis, Kim C. Border
    Pages 263-300
  9. Charalambos D. Aliprantis, Kim C. Border
    Pages 301-330
  10. Charalambos D. Aliprantis, Kim C. Border
    Pages 331-364
  11. Charalambos D. Aliprantis, Kim C. Border
    Pages 365-394
  12. Charalambos D. Aliprantis, Kim C. Border
    Pages 395-426
  13. Charalambos D. Aliprantis, Kim C. Border
    Pages 427-454
  14. Charalambos D. Aliprantis, Kim C. Border
    Pages 455-472
  15. Charalambos D. Aliprantis, Kim C. Border
    Pages 473-492
  16. Charalambos D. Aliprantis, Kim C. Border
    Pages 493-522
  17. Charalambos D. Aliprantis, Kim C. Border
    Pages 523-556
  18. Charalambos D. Aliprantis, Kim C. Border
    Pages 557-586
  19. Charalambos D. Aliprantis, Kim C. Border
    Pages 587-620
  20. Charalambos D. Aliprantis, Kim C. Border
    Pages 621-633

About this book

Introduction

In the nearly five years since the publication of what we refer to as The Hitchhiker's Guide, we have been the recipients of much advice and many complaints. That, combined with the economics of the publishing industry, convinced us that the world would be a better place if we published a second edition of our book, and made it available in paperback at a more modest price. The most obvious difference between the second and the original edition is the reorganization of material that resulted in three new chapters. Chap­ ter 4 collects many of the purely set-theoretical results about measurable structures such as semirings and a-algebras. The material in this chapter is quite independent from notions of measure and integration, and is easily ac­ cessible, so we thought it should come sooner. We also divided the chapter on correspondences into two separate chapters, one dealing with continuity, the other with measurability. The material on measurable correspondences is more detailed and, we hope, better written. We also put many of the representation theorems into their own Chapter 13. This arrangement has the side effect of forcing the renumbering of almost every result in the text, thus rendering the original version obsolete. We feel bad about that, but like Humpty Dumpty, we doubt we could put it back the way it was. The second most noticeable change is the addition of approximately seventy pages of new material.

Keywords

Algebra Convexity Markov Theory of Finance Topologie Wirtschaftstheorie calculus compactness duality integration linear optimization mathematical analysis measure operator step function

Authors and affiliations

  • Charalambos D. Aliprantis
    • 1
  • Kim C. Border
    • 2
  1. 1.Department of EconomicsPurdue UniversityWest LafayetteUSA
  2. 2.Division of the Humanities and Social Sciences 228-77California Institute of TechnologyPasadenaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-03961-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 1999
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-65854-2
  • Online ISBN 978-3-662-03961-8
  • About this book