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Vladikavkazskii Matematicheskii Zhurnal, 2016, Volume 18, Number 1, Pages 42–50 (Mi vmj571)  
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
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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.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-91339 ННИО-а
15-51-53119 ГФЕН-а
The study was supported by the grants from Russian Foundation for Basic Research, projects № 14-01-91339 ННИО-а and № 15-51-53119 ГФЕН-а.
Received: 13.11.2015
Document Type: Article
UDC: 517.98
MSC: 46B04, 46B42, 47B65, 03C90, 03C98
Language: English
Citation: A. G. Kusraev, “Operators on injective Banach lattices”, Vladikavkaz. Mat. Zh., 18:1 (2016), 42–50
Citation in format AMSBIB
\Bibitem{Kus16}
\by A.~G.~Kusraev
\paper Operators on injective Banach lattices
\jour Vladikavkaz. Mat. Zh.
\yr 2016
\vol 18
\issue 1
\pages 42--50
\mathnet{http://mi.mathnet.ru/vmj571}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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