© 2001

Lectures on Choquet’s Theorem

  • Robert R. Phelps

Part of the Lecture Notes in Mathematics book series (LNM, volume 1757)

About this book


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.


Choquet's Theorem Compact convex sets DEX approximation theory average eXist ergodic theory form function integral metrizable presentation representing measures set theorem

Editors and affiliations

  • Robert R. Phelps
    • 1
  1. 1.Department of MathematicsUniversity of WashingtonSeattleUSA

Bibliographic information

  • Book Title Lectures on Choquet’s Theorem
  • Authors Robert R. Phelps
  • Series Title Lecture Notes in Mathematics
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2001
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-41834-4
  • eBook ISBN 978-3-540-48719-7
  • Series ISSN 0075-8434
  • Edition Number 2
  • Number of Pages X, 130
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Originally published by Van Nostrand, Princeton, USA, 1966
  • Topics Potential Theory
    Functional Analysis
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