Nonstandard Analysis and Vector Lattices
Seiten
2000
Kluwer Academic Publishers (Verlag)
978-0-7923-6619-5 (ISBN)
Kluwer Academic Publishers (Verlag)
978-0-7923-6619-5 (ISBN)
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.
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.
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.
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.
| Erscheint lt. Verlag | 31.10.2000 |
|---|---|
| Reihe/Serie | Mathematics and its Applications ; v. 525 |
| Zusatzinfo | index |
| Sprache | englisch |
| Einbandart | gebunden |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-10 | 0-7923-6619-0 / 0792366190 |
| ISBN-13 | 978-0-7923-6619-5 / 9780792366195 |
| Zustand | Neuware |
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