Nonstandard Analysis and Vector Lattices /
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 measu...
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht :
Springer Netherlands : Imprint : Springer,
2000.
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| Series: | Mathematics and its applications ;
525. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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": <em>Vector Lattices and Integral</em> <em>Operators</em>, printed in 1996. <br/> <em>Audience:</em> 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. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (320 pages) |
| ISBN: | 9789401143059 (electronic bk.) 9401143056 (electronic bk.) |