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Vladikavkazskii Matematicheskii Zhurnal, 2008, Volume 10, Number 3, Pages 29–33 (Mi vmj71)  
On some properties of orthosymmetric bilinear operators

A. G. Kusraev

Institute of Applied Mathematics and Informatics, Vladikavkaz Science Center of the RAS, Vladikavkaz, RUSSIA
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Abstract: This note contains some properties of positive orthosymmetric bilinear operators on vector lattices which are well known for almost $f$-algebra multiplication but despite of their simplicity does not seem appeared in the literature.
Key words: vector lattice, square of a vector lattice, bilinear operator, orthosymmetry, lattice bimorphism, $f$-algebra multiplication.
Received: 05.06.2008
Bibliographic databases:
Document Type: Article
UDC: 517.98
MSC: 46A40, 47A65
Language: English
Citation: A. G. Kusraev, “On some properties of orthosymmetric bilinear operators”, Vladikavkaz. Mat. Zh., 10:3 (2008), 29–33
Citation in format AMSBIB
\Bibitem{Kus08}
\by A.~G.~Kusraev
\paper On some properties of orthosymmetric bilinear operators
\jour Vladikavkaz. Mat. Zh.
\yr 2008
\vol 10
\issue 3
\pages 29--33
\mathnet{http://mi.mathnet.ru/vmj71}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2461682}
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