Nonstandard analysis and vector lattices. 2nd ed., corr. and enl. [in Russian]

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.

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.

Type	Monograph
Authors	Gutman Alexander Efimovich Emelyanov Eduard Yur'evich Koptev Alexander Viktorovich Kusraev Anatoly Georgievich Kutateladze Semen Samsonovich Malyugin Sergey Artem'evich
Title	Nonstandard analysis and vector lattices. 2nd ed., corr. and enl.
Address	Novosibirsk
Publishers	Institute of Mathematics
Year	2005
Size	x+400 pages
ISBN	5-86134-127-3
Language	Russian
©	2005.09.05
Files	Monograph (PDF) Cover (PDF)
Links	Record in BibTeX format Information on ResearchGate Chapter 2 Chapter 3 First edition
Project	Boolean-valued analysis Development of the theory of Boolean-valued models and their applications in functional analysis

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Last updated
July 19, 2018