Lectures on Choquet's theorem
By: Robert R. Phelps.
Edition: 2nd ed.
Series: Lecture notes in mathematics,; 1757; Lecture notes in mathematics (Springer-Verlag) ;; 1757.
Publisher: Springer
Published: 2001
Place of publication: Berlin; New York
Language: eng
Number of pages: 124
Subjects: Choquet theory
Description: 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.
Notes: Includes bibliographical references (p. [115]-121) and index.
Previous ed.: Princeton, N.J. : Van Nostrand, 1966.