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Vladikavkaz. Mat. Zh., 2016, Volume 18, Number 1, Pages 42–50 (Mi vmj571)  

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.

Funding Agency Grant Number
Russian Foundation for Basic Research 14-01-91339 -
15-51-53119 -
The study was supported by the grants from Russian Foundation for Basic Research, projects № 14-01-91339 - and № 15-51-53119 -.


Full text: PDF file (233 kB)
References: PDF file   HTML file
UDC: 517.98
MSC: 46B04, 46B42, 47B65, 03C90, 03C98
Received: 13.11.2015
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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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