Gutman A.E., Emelyanov E.Yu., Kusraev A.G., Kutateladze S.S.
Nonstandard analysis and vector lattices [in Russian].
Novosibirsk: Institute of Mathematics, 1999. x+380 p.
@book { Gutman19991214,
author = "Gutman A.E. and Emelyanov E.Yu. and Kusraev A.G. and Kutateladze S.S.",
title = "Nonstandard analysis and vector lattices",
address = "Novosibirsk",
publisher = "Institute of Mathematics",
year = "1999",
pages = "x+380",
isbn = "5-86134-068-4",
language = "russian",
annote = "The book is devoted to applications of nonstandard methods of analysis to the theory of vector lattices. Much attention is paid to the problem of combining infinitesimal and Boolean-valued concepts to studying classical problems of the theory of vector lattices related to constructing concrete representations of abstract functional-analytic objects: Banach--Kantorovich spaces, dominated operators, vector measures, integral operators, etc. This book is intended for those interested in modern applications of nonstandard analysis to problems of functional analysis."
}