Nonstandard Analysis And Vector Lattices (mathematics And Its Applications Volume 525)
by S.S. Kutateladze /
2000 / English / PDF
8.4 MB Download
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":
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
Vector Lattices and
IntegralOperators
Operators, printed in 1996.
, printed in 1996.Audience:
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.
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.
