Lectures on Choquet's theorem / Robert R. Phelps
Type de document : Livre numériqueCollection : Lecture notes in mathematics, 1757Langue : anglais.Éditeur : Berlin : Springer, 2001ISBN: 9783540418344.ISSN: 1617-9692.Sujet MSC : 46A55, Functional analysis - Topological linear spaces and related structures, Convex sets in topological linear spaces; Choquet theory46J20, Functional analysis - Commutative Banach algebras and commutative topological algebras, Ideals, maximal ideals, boundaries
46-02, Research exposition (monographs, survey articles) pertaining to functional analysisEn-ligne : Springerlink | Zentralblatt
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One of the masterpieces in the literature of mathematics has been reprinted. Since its appearance in 1966 this book has served as the introduction for many students as a semester course to the part of infinite-dimensional convexity theory that deals with representation of points in a compact convex set as the resultants of probability measures.
It supposes a basic knowledge of locally convex spaces including the various versions of the Hahn-Banach theorems, the Riesz representation theorem and the Krein-Milman theorem. ... (Zentralblatt)
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