Nonstandard Analysis and Vector Lattices

Nonstandard Analysis and Vector Lattices

by Semen Samsonovich Kutateladze (Editor)

Paperback(Softcover reprint of the original 1st ed. 2000)

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Overview

Nonstandard Analysis and Vector Lattices by Semen Samsonovich Kutateladze

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.

Product Details

ISBN-13: 9789401058636
Publisher: Springer Netherlands
Publication date: 10/14/2012
Series: Mathematics and Its Applications Series , #525
Edition description: Softcover reprint of the original 1st ed. 2000
Pages: 307
Product dimensions: 6.30(w) x 9.45(h) x 0.03(d)

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