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Vladikavkazskii Matematicheskii Zhurnal, 2016, Volume 18, Number 1, Pages 42–50
(Mi vmj571)
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This article is cited in 1 scientific paper (total in 1 paper)
Operators on injective Banach lattices
A. G. Kusraevab a 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:
The paper deals with some properties of bounded linear operators on injective Banach lattice using a Boolean-valued transfer principle from $AL$-spaces to injectives stated in author's previous work.
Key words:
$AL$-space, $AM$-space, injective Banach lattice, Boolean-valued model, Boolean-valued transfer principle, Daugavet equation, cyclically compact operator, cone $\mathbb B$-summing operator.
Received: 13.11.2015
Citation:
A. G. Kusraev, “Operators on injective Banach lattices”, Vladikavkaz. Mat. Zh., 18:1 (2016), 42–50
Linking options:
https://www.mathnet.ru/eng/vmj571 https://www.mathnet.ru/eng/vmj/v18/i1/p42
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Abstract page: | 257 | Full-text PDF : | 101 | References: | 46 |
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