Gutman A.E., Emelyanov E.Yu., Koptev A.V., Kusraev A.G., Kutateladze S.S., Malyugin S.A.
Nonstandard analysis and vector lattices. 2nd ed., corr. and enl. [in Russian].
Novosibirsk: Institute of Mathematics, 2005. x+400 p.
@book { Gutman20050905,
author = "Gutman A.E. and Emelyanov E.Yu. and Koptev A.V. and Kusraev A.G. and Kutateladze S.S. and Malyugin S.A.",
title = "Nonstandard analysis and vector lattices. 2nd ed., corr. and enl.",
address = "Novosibirsk",
publisher = "Institute of Mathematics",
year = "2005",
pages = "x+400",
isbn = "5-86134-127-3",
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."
}