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Vladikavkazskii Matematicheskii Zhurnal, 2015, Volume 17, Number 1, Pages 60–63
(Mi vmj533)
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A characterization of order bounded disjointness preserving bilinear operators
A. G. Kusraeva, S. S. Kutateladzeb a Southern Mathematical Institute, Vladikavkaz Science Center of the RAS, 22 Markus street, Vladikavkaz, 362027, Russia
b Sobolev Institute of Mathematics, 4 Koptyug Avenue, Novosibirsk, 630090, Russia
Abstract:
The paper is aimed to characterize order bounded disjointness preserving bilinear operators in terms of their null-spaces. To this end the Boolean valued analysis approach is employed.
Key words:
Boolean valued representation, vector lattice, disjointness preserving operator.
Received: 16.02.2015
Citation:
A. G. Kusraev, S. S. Kutateladze, “A characterization of order bounded disjointness preserving bilinear operators”, Vladikavkaz. Mat. Zh., 17:1 (2015), 60–63
Linking options:
https://www.mathnet.ru/eng/vmj533 https://www.mathnet.ru/eng/vmj/v17/i1/p60
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Abstract page: | 334 | Full-text PDF : | 127 | References: | 57 |
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