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Gutman A.E., Emelyanov E.Yu., Kusraev A.G., Kutateladze S.S.
Nonstandard analysis and vector lattices.
Dordrecht: Kluwer Academic Publishers, 2000. xii+307 p.
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@book { Gutman20000410,
author = "Gutman A.E. and Emelyanov E.Yu. and Kusraev A.G. and Kutateladze S.S.",
title = "Nonstandard analysis and vector lattices",
address = "Dordrecht",
publisher = "Kluwer Academic Publishers",
year = "2000",
pages = "xii+307",
isbn = "978-94-010-5863-6",
doi = "10.1007/978-94-011-4305-9",
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."
}