Lectures on Choquet's theorem / Robert R. Phelps.

• Material Type: 図書
• ISBN: 3540418342 (pbk. : alk. paper)
• ISSN (series): 0075-8434
• Title: Lectures on Choquet's theorem / Robert R. Phelps.
• Edition: 2nd ed.
• Series Title: Lecture notes in mathematics ; 1757
• Title Heading: Lecture notes in mathematics (Springer-Verlag) ; 1757.
• Author Heading: Phelps, Robert R. (Robert Ralph), 1926-2013.
• Publication, Distribution, etc.: Berlin : Springer; Tokyo : Springer
• Publication Date: c2001.
• Publication Date (W3CDTF): 2001
• Extent: 124 p. ; 24 cm.
• Place of Publication (Country Code): DE
• Text Language Code: eng
• Subject Heading: 線型位相空間. Senkeiisokukan.; 凸集合. Totusyugo.; Choquet theory.
• NDLC: MA152
• Note (General): Includes indexes.; Bibliography: p. [115]-121.
• Holding library: 国立国会図書館
• Call No.: MA152-A166
• Data Provider (Database): 国立国会図書館 : 国立国会図書館蔵書; https://ndlsearch.ndl.go.jp
• Bibliographic ID (NDL): 000003694982; http://id.ndl.go.jp/bib/000003694982
• Bibliographic Record Category (NDL): 211

Table of Contents

Contents

Preface/ v

1　Introduction. The Krein-Milman theorem as an integral representation theorem/ 1

2　Application of the Krein-Milman theorem to completely monotonic functions/ 9

3　Choquet's theorem: The metrizable case/ 13