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Vladikavkazskii Matematicheskii Zhurnal, 2015, Volume 17, Number 3, Pages 44–52
(Mi vmj551)
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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
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.
Received: 31.08.2015
Citation:
A. G. Kusraev, “Atomicity in injective Banach lattices”, Vladikavkaz. Mat. Zh., 17:3 (2015), 44–52
Linking options:
https://www.mathnet.ru/eng/vmj551 https://www.mathnet.ru/eng/vmj/v17/i3/p44
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Abstract page: | 204 | Full-text PDF : | 69 | References: | 40 |
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