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Boolean valued analysis

Author: A G Kusraev; S S Kutateladze
Publisher: Dordrecht ; Boston, Mass : Kluwer Academic, 1999.
Series: Mathematics and its applications (Kluwer Academic Publishers), v. 494.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
"This book demonstrates the main advantages of Boolean valued analysis which provides the tools for transforming, for example, function spaces to subsets of the reals, operators to functionals, and vector-functions to numerical mappings. Boolean valued representations of algebraic systems, Banach spaces, and involutive algebras are examined thoroughly." "This volume is intended for classical analysts seeking new  Read more...
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Document Type: Book
All Authors / Contributors: A G Kusraev; S S Kutateladze
ISBN: 0792359216 9780792359210
OCLC Number: 41967176
Language Note: Translated from the Russian.
Description: xii, 322 pages ; 25 cm.
Contents: Ch. 1. Universes of Sets --
Ch. 2. Boolean Valued Universes --
Ch. 3. Functors of Boolean Valued Analysis --
Ch. 4. Boolean Valued Analysis of Algebraic Systems --
Ch. 5. Boolean Valued Analysis of Banach Spaces --
Ch. 6. Boolean Valued Analysis of Banach Algebras.
Series Title: Mathematics and its applications (Kluwer Academic Publishers), v. 494.
Responsibility: by A.G. Kusraev and S.S. Kutateladze.

Abstract:

"This book demonstrates the main advantages of Boolean valued analysis which provides the tools for transforming, for example, function spaces to subsets of the reals, operators to functionals, and vector-functions to numerical mappings. Boolean valued representations of algebraic systems, Banach spaces, and involutive algebras are examined thoroughly." "This volume is intended for classical analysts seeking new powerful tools, and for model theorists in search of challenging applications of nonstandard models."--BOOK JACKET.

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