Lectures on Choquet's Theorem

A well written, readable and easily accessible introduction to "Choquet theory", which treats the representation of elements of a compact convex set as integral averages over extreme points of the set. The interest in this material arises both from its appealing geometrical nature as well...

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Bibliographic Details
Main Author: Phelps, Robert R. (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2001.
Edition:2nd ed. 2001.
Series:Lecture Notes in Mathematics, 1757
Subjects:
Online Access:Full Text via HEAL-Link
Description
Summary:A well written, readable and easily accessible introduction to "Choquet theory", which treats the representation of elements of a compact convex set as integral averages over extreme points of the set. The interest in this material arises both from its appealing geometrical nature as well as its extraordinarily wide range of application to areas ranging from approximation theory to ergodic theory. Many of these applications are treated in this book. This second edition is an expanded and updated version of what has become a classic basic reference in the subject.
Physical Description:X, 130 p. online resource.
ISBN:9783540487197
ISSN:0075-8434 ;
DOI:10.1007/b76887