Weierstrass-Stone,: The Theorem (Approximation & Optimization)

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9783631465110: Weierstrass-Stone,: The Theorem (Approximation & Optimization)
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The Weierstrass-Stone Theorem is one of the main tools of modern analysis, and several parts of functional analysis would not exist without it. The purpose of this monograph is to present its true nature by proving several increasing generalizations of this theorem, going from the classical case of subalgebras to submodules and to arbitrary subsets of continuous functions over compact spaces. Some closely connected results on uniform approximation which are important for many applications are also presented, namely the Choquet-Deny and the Kakutani Theorems for semi-lattices and for lattices of continuous functions, respectively. The beautiful variation of the Weierstrass-Stone Theorem due to von Neumann is also included with the proof due to R. I. Jewett. The monograph ends with several recent results on uniform approximation of bounded continuous functions over non-compact spaces.

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The book is very well written and we recommended it to all people interested in one or several aspects of the Weierstrass-Stone theorem. (C. Badea, Zentralblatt fuer Mathematik)

Biografía del autor:

The Author: Joao B. Prolla was born in 1935. He received his doctorate in 1968 from New York University. Since 1976 he is a full professor at the State University of Campinas, Brazil. His main fields of research are approximation theory and p-adic functional analysis.

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Prolla, Joao B.
Verlag: Berlin, 1993. iv, 130 pp. (1993)
ISBN 10: 3631465114 ISBN 13: 9783631465110
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Buchbeschreibung Berlin, 1993. iv, 130 pp., 1993. Zustand: New. The Weierstrass-Stone Theorem is one of the main tools of modern analysis, and several parts of functional analysis would not exist without it. The purpose of this monograph is to present its true nature by proving several increasing generalizations of this theorem, going from the classical case of subalgebras to submodules and to arbitrary subsets of continuous functions over compact spaces. Some closely connected results on uniform approximation which are important for many applications are also presented, namely the Choquet-Deny and the Kakutani Theorems for semi-lattices and for lattices of continuous functions, respectively. The beautiful variation of the Weierstrass-Stone Theorem due to von Neumann is also included with the proof due to R. I. Jewett. The monograph ends with several recent results on uniform approximation of bounded continuous functions over non-compact spaces. Bestandsnummer des Verkäufers 46511

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João B Prolla
Verlag: Lang, Peter, GmbH, Internationaler Verlag der Wiss 1993-11-01, Frankfurt am Main (1993)
ISBN 10: 3631465114 ISBN 13: 9783631465110
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Buchbeschreibung Lang, Peter, GmbH, Internationaler Verlag der Wiss 1993-11-01, Frankfurt am Main, 1993. paperback. Zustand: New. Bestandsnummer des Verkäufers 9783631465110

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Joao B. Prolla
Verlag: Peter Gmbh Lang Nov 1993 (1993)
ISBN 10: 3631465114 ISBN 13: 9783631465110
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Buchbeschreibung Peter Gmbh Lang Nov 1993, 1993. Taschenbuch. Zustand: Neu. Neuware - The Weierstrass-Stone Theorem is one of the main tools of modern analysis, and several parts of functional analysis would not exist without it. The purpose of this monograph is to present its true nature by proving several increasing generalizations of this theorem, going from the classical case of subalgebras to submodules and to arbitrary subsets of continuous functions over compact spaces. Some closely connected results on uniform approximation which are important for many applications are also presented, namely the Choquet-Deny and the Kakutani Theorems for semi-lattices and for lattices of continuous functions, respectively. The beautiful variation of the Weierstrass-Stone Theorem due to von Neumann is also included with the proof due to R. I. Jewett. The monograph ends with several recent results on uniform approximation of bounded continuous functions over non-compact spaces. 130 pp. Englisch. Bestandsnummer des Verkäufers 9783631465110

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Joao B. Prolla
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Buchbeschreibung Peter Gmbh Lang Nov 1993, 1993. Taschenbuch. Zustand: Neu. Neuware - The Weierstrass-Stone Theorem is one of the main tools of modern analysis, and several parts of functional analysis would not exist without it. The purpose of this monograph is to present its true nature by proving several increasing generalizations of this theorem, going from the classical case of subalgebras to submodules and to arbitrary subsets of continuous functions over compact spaces. Some closely connected results on uniform approximation which are important for many applications are also presented, namely the Choquet-Deny and the Kakutani Theorems for semi-lattices and for lattices of continuous functions, respectively. The beautiful variation of the Weierstrass-Stone Theorem due to von Neumann is also included with the proof due to R. I. Jewett. The monograph ends with several recent results on uniform approximation of bounded continuous functions over non-compact spaces. 130 pp. Englisch. Bestandsnummer des Verkäufers 9783631465110

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Joao B. Prolla
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Buchbeschreibung Peter Gmbh Lang Nov 1993, 1993. Taschenbuch. Zustand: Neu. Neuware - The Weierstrass-Stone Theorem is one of the main tools of modern analysis, and several parts of functional analysis would not exist without it. The purpose of this monograph is to present its true nature by proving several increasing generalizations of this theorem, going from the classical case of subalgebras to submodules and to arbitrary subsets of continuous functions over compact spaces. Some closely connected results on uniform approximation which are important for many applications are also presented, namely the Choquet-Deny and the Kakutani Theorems for semi-lattices and for lattices of continuous functions, respectively. The beautiful variation of the Weierstrass-Stone Theorem due to von Neumann is also included with the proof due to R. I. Jewett. The monograph ends with several recent results on uniform approximation of bounded continuous functions over non-compact spaces. 130 pp. Englisch. Bestandsnummer des Verkäufers 9783631465110

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Joao B. Prolla
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Buchbeschreibung Peter Gmbh Lang Nov 1993, 1993. Taschenbuch. Zustand: Neu. Neuware - The Weierstrass-Stone Theorem is one of the main tools of modern analysis, and several parts of functional analysis would not exist without it. The purpose of this monograph is to present its true nature by proving several increasing generalizations of this theorem, going from the classical case of subalgebras to submodules and to arbitrary subsets of continuous functions over compact spaces. Some closely connected results on uniform approximation which are important for many applications are also presented, namely the Choquet-Deny and the Kakutani Theorems for semi-lattices and for lattices of continuous functions, respectively. The beautiful variation of the Weierstrass-Stone Theorem due to von Neumann is also included with the proof due to R. I. Jewett. The monograph ends with several recent results on uniform approximation of bounded continuous functions over non-compact spaces. 130 pp. Englisch. Bestandsnummer des Verkäufers 9783631465110

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Joao B. Prolla
Verlag: Peter Lang GmbH, Germany (1993)
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Buchbeschreibung Peter Lang GmbH, Germany, 1993. Paperback. Zustand: New. Language: English . Brand New Book. The Weierstrass-Stone Theorem is one of the main tools of modern analysis, and several parts of functional analysis would not exist without it. The purpose of this monograph is to present its true nature by proving several increasing generalizations of this theorem, going from the classical case of subalgebras to submodules and to arbitrary subsets of continuous functions over compact spaces. Some closely connected results on uniform approximation which are important for many applications are also presented, namely the Choquet-Deny and the Kakutani Theorems for semi-lattices and for lattices of continuous functions, respectively. The beautiful variation of the Weierstrass-Stone Theorem due to von Neumann is also included with the proof due to R. I. Jewett. The monograph ends with several recent results on uniform approximation of bounded continuous functions over non-compact spaces. Bestandsnummer des Verkäufers LIB9783631465110

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Joao B. Prolla
Verlag: Peter Lang GmbH, Internationaler Verlag der Wissenschaften (1993)
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Buchbeschreibung Peter Lang GmbH, Internationaler Verlag der Wissenschaften, 1993. Zustand: New. book. Bestandsnummer des Verkäufers M3631465114

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Joao B. Prolla
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Buchbeschreibung Peter Lang GmbH, Internationaler Verlag der Wissenschaften, 1993. Paperback. Zustand: New. Ships with Tracking Number! INTERNATIONAL WORLDWIDE Shipping available. Buy with confidence, excellent customer service!. Bestandsnummer des Verkäufers 3631465114n

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