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.
General
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