Weierstrass-Stone,: The Theorem: v. 5 (Approximation & Optimization S.) - Softcover

Prolla, Joao B.

Softcover

ISBN 10: 3631465114 ISBN 13: 9783631465110

Verlag: Peter Lang, 1993

Inhaltsangabe

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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Críticas:

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.

Über diese Auflage

• Verlag: Peter Lang
• Erscheinungsdatum: 1993
• ISBN 10: 3631465114
• ISBN 13: 9783631465110
• Einband: Tapa blanda
• Auflage: 1
• Anzahl der Seiten: 130