Nonstandard analysis and vector lattices
Author(s)
Bibliographic Information
Nonstandard analysis and vector lattices
(Mathematics and its applications, v. 525)
Kluwer Academic Publishers, 2000
- acid-free paper
Available at / 17 libraries
-
Library, Research Institute for Mathematical Sciences, Kyoto University数研
acid-free paperC||Nonstandard-400061040
-
Hiroshima University Central Library, Interlibrary Loan
acid-free paper413:N-95/HL4010004000410810
-
No Libraries matched.
- Remove all filters.
Note
Includes bibliographical references and indexes
Description and Table of Contents
Description
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, vector measures, and dominated and integral operators. The book is a complement to Volume 358 of "MIA Vector Lattices and Integral Operators", printed in 1996.
Table of Contents
- 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
- E.Yu. Emel'yanov. 5. Vector Measures and Dominated Mappings
- A.G. Kusraev, S.A. Malyugin. Notation Index. Subject Index.
by "Nielsen BookData"