Weierstrass-Stone,: The Theorem by Brosowski, Bruno

Weierstrass-Stone,: The Theorem (Paperback) (ISBN-13: 9783631465110)

Vendor: Bruno Brosowski
Product type: Books
Format: Paperback
$65.95
$65.95
$65.95
Subtotal: $65.95
Weierstrass-Stone,: The Theorem by Brosowski, Bruno

Weierstrass-Stone,: The Theorem

$65.95
Weierstrass-Stone,: The Theorem by Brosowski, Bruno

Weierstrass-Stone,: The Theorem

$65.95
Format: Paperback
Description
Description
x
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.

Author: Bruno Brosowski,Joao B. Prolla
ISBN-10: 3631465114
ISBN-13: 9783631465110
Publisher: Peter Lang Gmbh, Internationaler Verlag Der W
Language: English
Published: 11/01/1993
Pages: 130
Format: Paperback
By Bruno Brosowski
By Bruno Brosowski
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The Author: JoThe Author: João 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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