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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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
Preface 1 Introduction. The Krein-Milman theorem as an integral representation theorem 2 Application of the Krein-Milman theorem to completely monotonic functions 3 Choquet's theorem: The metrizable case 4 The Choquet-Bishop-de Leeuw existence theorem 5 Applications to Rainwater's and Haydon's theorems 6 A new setting: The Choquet boundary 7 Applications of the Choquet boundary to resolvents 8 The Choquet boundary for uniform algebras 9 The Choquet boundary and approximation theory 10 Uniqueness of representing measures 11 Properties of the resultant map 12 Application to invariant and ergodic measures 13 A method for extending the representation theorems: Caps 14 A different method for extending the representation theorems 15 Orderings and dilations of measures 16 Additional Topics References Index of symbols Index
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Lectures on Choquet's Theorem (Lecture Notes in Mathematics, 1757)
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Lectures on Choquet's Theorem (Lecture Notes in Mathematics, 1757)
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Lectures on Choquet's Theorem
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Lectures on Choquet's Theorem
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Springer Berlin Heidelberg Mai 2001, 2001
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 136 pp. Englisch. Codice articolo 9783540418344
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Lecture on Choquet's theorem.
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 appe. Codice articolo 4889469
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Lectures on Choquet's Theorem (Lecture Notes in Mathematics, 1757)
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Lectures on Choquet's Theorem
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ISBN 10: 3540418342
ISBN 13: 9783540418344
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Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 140 pp. Englisch. Codice articolo 9783540418344
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