Nonstandard analysis and vector lattices
著者
書誌事項
Nonstandard analysis and vector lattices
（Mathematics and its applications, v. 525）
Kluwer Academic Publishers, 2000
- acid-free paper
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注記
Includes bibliographical references and indexes
内容説明・目次
内容説明
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.
目次
- 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.
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