Nonstandard Analysis and Vector Lattices: v. 525 (Mathematics and its Applications) - Hardcover

 
9780792366195: Nonstandard Analysis and Vector Lattices: v. 525 (Mathematics and its Applications)
Hardcover
ISBN 10: 0792366190 ISBN 13: 9780792366195
Verlag: Springer, 2000

Inhaltsangabe

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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Reseña del editor

This book 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. This book is a complement to Volume 358 of "Mathematics and Its Applications": Vector Lattices and Integral Operators, printed in 1996. Audience: The book is intended for the reader interested in the modern tools of nonstandard models of set theory as applied to problems of contemporary functional analysis. It will also be of use to mathematicians, students and postgraduates interested in measure and integration, operator theory, and mathematical logic and foundation.

Reseña del editor

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.

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Verlag
Springer
Erscheinungsdatum
2000
Sprache
Englisch
ISBN 10 
0792366190
ISBN 13 
9780792366195
Einband
Tapa dura
Anzahl der Seiten
324
Herausgeber
Kutateladze Semën Samsonovich
Kontakt zum Hersteller
Nicht verfügbar
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Vorgestellte Ausgabe

ISBN 10:  9401058636 ISBN 13:  9789401058636
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Softcover