Nonstandard Analysis and Vector Lattices
Book Details
Format
Hardback or Cased Book
Book Series
Mathematics and its Applications
ISBN-10
0792366190
ISBN-13
9780792366195
Publisher
Kluwer Academic Publishers
Imprint
Kluwer Academic Publishers
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Oct 31st, 2000
Print length
320 Pages
Weight
606 grams
Dimensions
24.40 x 16.30 x 2.50 cms
Product Classification:
Functional analysis & transformsFunctional analysis and transforms
Ksh 18,000.00
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This volume collects applications of nonstandard methods to the theory of vector lattices. Primary attention is paid to combining infinitesimal and Boolean-valued constructions of use in the classical problems of representing abstract analytical objects, such as Banach-Kantorovich spaces.
Foreword. 1. Nonstandard Methods and Kantorovich Spaces; A.G. Kusraev, S.S. Kutateladze. 2. Functional Representation of a Boolean Valued Universe; A.E. Gutman, G.A. Losenkov. 3. Dual Banach Bundles; A.E. Gutman, A.V. Koptev. 4. Infinitesimals in Vector Lattices; È.Yu. Emel''yanov. 5. Vector Measures and Dominated Mappings; A.G. Kusraev, S.A. Malyugin. Notation Index. Subject Index.
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