Vladikavkaz. Mat. Zh., 2016 Volume 18, Number 1, Pages 42–50
(Mi vmj571)
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Operators on injective Banach lattices A. G. Kusraev ab 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.UDC:
517.98
MSC: 46B04 ,
46B42 ,
47B65 ,
03C90 ,
03C98 Received: 13.11.2015
Language: English
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