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Infinite Dimensional Analysis: A Hitchhiker’s Guide

Aliprantis, Charalambos D. and Border, Kim C. (2006) Infinite Dimensional Analysis: A Hitchhiker’s Guide. Springer , Berlin. ISBN 978-3-540-29586-0. https://resolver.caltech.edu/CaltechAUTHORS:20200519-082246408

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Abstract

This new edition of The Hitchhiker’s Guide has benefitted 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 finite dimensional spaces. There are improvements and additions in almost every chapter. There is more new material than might seem at first glance, thanks to a change in font that reduced the page count about five 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 five 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.


Item Type:Book
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/3-540-29587-9DOIBook
ORCID:
AuthorORCID
Border, Kim C.0000-0003-4437-0524
Additional Information:© 2006 Springer-Verlag Berlin Heidelberg.
Subject Keywords:Analysis; Convex Analysis; Economic Theory; Mathematical Analysis; Measure Theory and Integration; Theory of Finance; Topology; functional analysis; linear optimization
Record Number:CaltechAUTHORS:20200519-082246408
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200519-082246408
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:103301
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:19 May 2020 16:15
Last Modified:19 May 2020 16:15

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