
Boolean Valued Analysis
Kluwer Academic Publishers
1st Edition
Published on 31. August 1999
Book
Hardback
XII, 322 pages
978-0-7923-5921-0 (ISBN)
Article exhausted; check different version
Description
Boolean valued analysis is a technique for studying properties of an arbitrary mathematical object by comparing its representations in two different set-theoretic models whose construction utilises principally distinct Boolean algebras. The use of two models for studying a single object is a characteristic of the so-called non-standard methods of analysis. Application of Boolean valued models to problems of analysis rests ultimately on the procedures of ascending and descending, the two natural functors acting between a new Boolean valued universe and the von Neumann universe.
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.
Audience: This volume is intended for classical analysts seeking powerful new tools, and for model theorists in search of challenging applications of nonstandard models.
More details
Series
Edition
1., 999
Language
English
Place of publication
Dordrecht
United States
Target group
College/higher education
Professional and scholarly
Research
Product notice
sewn/stitched
Cloth over boards
Illustrations
XII, 322 p.
references, index
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 25 mm
Weight
688 gr
ISBN-13
978-0-7923-5921-0 (9780792359210)
DOI
10.1007/978-94-011-4443-8
Schweitzer Classification
Other editions
Additional editions

A.G. Kusraev | Semën Samsonovich Kutateladze
Boolean Valued Analysis
Book
10/2012
Springer
€128.39
Shipment within 15-20 days
Content
Foreword to the English Translation. Preface. 1. Universes of Sets. 2. Boolean Valued Universes. 3. Functors of Boolean Valued Analysis. 4. Boolean Valued Analysis of Algebraic Systems. 5. Boolean Valued Analysis of Banach Spaces. 6. Boolean Valued Analysis of Banach Algebras. Appendix. References. Subject Index.