@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." }