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Infinite Dimensional Analysis

A Hitchhiker’s Guide

  • Charalambos D. Aliprantis
  • Kim C. Border

Table of contents

  1. Front Matter
    Pages i-xxii
  2. Pages 1-20
  3. Pages 21-67
  4. Pages 69-126
  5. Pages 127-161
  6. Pages 225-250
  7. Pages 251-309
  8. Pages 311-345
  9. Pages 347-370
  10. Pages 371-402
  11. Pages 403-432
  12. Pages 433-460
  13. Pages 461-486
  14. Pages 505-523
  15. Pages 525-554
  16. Pages 555-590
  17. Pages 621-653
  18. Pages 655-666
  19. Back Matter
    Pages 667-705

About this book

Introduction

This new edition of The Hitchhiker’s Guide has bene?tted from the comments of many individuals, which have resulted in the addition of some new material, and the reorganization of some of the rest. The most obvious change is the creation of a separate Chapter 7 on convex analysis. Parts of this chapter appeared in elsewhere in the second edition, but much of it is new to the third edition. In particular, there is an expanded discussion of support points of convex sets, and a new section on subgradients of convex functions. There is much more material on the special properties of convex sets and functions in ?nite dimensional spaces. There are improvements and additions in almost every chapter. There is more new material than might seem at ?rst glance, thanks to a change in font that - duced the page count about ?ve percent. We owe a huge debt to Valentina Galvani, Daniela Puzzello, and Francesco Rusticci, who were participants in a graduate seminar at Purdue University and whose suggestions led to many improvements, especially in chapters ?ve through eight. We particularly thank Daniela Puzzello for catching uncountably many errors throughout the second edition, and simplifying the statements of several theorems and proofs. In another graduate seminar at Caltech, many improvements and corrections were suggested by Joel Grus, PJ Healy, Kevin Roust, Maggie Penn, and Bryan Rogers.

Keywords

Analysis Convex Analysis Economic Theory Mathematical Analysis Measure Theory and Integration Theory of Finance Topology functional analysis linear optimization

Authors and affiliations

  • Charalambos D. Aliprantis
    • 1
    • 2
  • Kim C. Border
    • 3
  1. 1.Department of EconomicsKrannert School of ManagementWest LafayetteUSA
  2. 2.Purdue UniversityWest LafayetteUSA
  3. 3.Division of the Humanities and Social SciencesCalifornia Institute of TechnologyPasadenaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-29587-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 2006
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Business and Economics
  • Print ISBN 978-3-540-29586-0
  • Online ISBN 978-3-540-29587-7
  • Buy this book on publisher's site