Nonstandard Analysis and Vector Lattices
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Author
Publication
2000 - Springer Netherlands, Dordrecht, Netherlands
Language
English
Word Count
76,750 words, Guess
Page Count
307 pages
Physical Format
[electronic resource] /
Identifiers
- Open LibraryOL27077717M
- ISBN-139789401058636
- ISBN-109401058636
- OCLC Control Number851390690
- OCLC Control Numbernonstandardanaly00kusr
Classifications
- DDC515.7
- LCCQA319-329.9
Description
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.
Subjects
Series Statement
- Mathematics and Its Applications -- 525
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