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Vladikavkazskii Matematicheskii Zhurnal, 2015, Volume 17, Number 3, Pages 44–52 (Mi vmj551)  
This article is cited in 2 scientific papers (total in 2 papers)

Atomicity in injective Banach lattices

A. G. Kusraevab

a K. L. Khetagurov North Ossetian State University, 44--46 Vatutin Street, Vladikavkaz, 362025, Russia
b Vladikavkaz Science Center of the RAS, 22 Markus Street, Vladikavkaz, 362027, Russia
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Abstract: This note is aimed to examine a Boolean valued interpretation of the concept of atomic Banach lattice and to give a complete description of the corresponding class of injective Banach lattices.
Key words: injective Banach lattice, atomic Banach lattice, Boolean valued representation, classification.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-00623-a
14-01-91339_ННИО-а
15-51-53119_ГФЕН_а
The study was supported by the Russian Foundation for Basic Research, projects № 12-01-00623-a, № 14-01-91339_ННИО-а, and № 15-51-53119_ГФЕН_а.
Received: 31.08.2015
Document Type: Article
UDC: 517.98
MSC: 46B42, 47B65
Language: English
Citation: A. G. Kusraev, “Atomicity in injective Banach lattices”, Vladikavkaz. Mat. Zh., 17:3 (2015), 44–52
Citation in format AMSBIB
\Bibitem{Kus15}
\by A.~G.~Kusraev
\paper Atomicity in injective Banach lattices
\jour Vladikavkaz. Mat. Zh.
\yr 2015
\vol 17
\issue 3
\pages 44--52
\mathnet{http://mi.mathnet.ru/vmj551}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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