@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." }