Nonstandard Analysis and Vector Lattices
By: edited by S. S. Kutateladze
Series: Mathematics and Its Applications -- 525; Mathematics and Its Applications -- 525
Publisher: Springer Netherlands
Published: 2000
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 307
ISBN-13: 9789401058636; 9789401143059
Subjects: Functional analysis; Mathematics; Operator theory; Symbolic and mathematical Logic
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.
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