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  • © 2001

Lectures on Choquet's Theorem

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

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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.

Keywords

  • 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

  • Department of Mathematics, University of Washington, Seattle, USA

    Robert R. Phelps

Bibliographic Information

  • Book Title: Lectures on Choquet's Theorem

  • Editors: Robert R. Phelps

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/b76887

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2001

  • Softcover ISBN: 978-3-540-41834-4Published: 08 May 2001

  • eBook ISBN: 978-3-540-48719-7Published: 01 July 2003

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 2

  • Number of Pages: X, 130

  • Additional Information: Originally published by Van Nostrand, Princeton, USA, 1966

  • Topics: Potential Theory, Functional Analysis

Buying options

eBook USD 34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 44.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions