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JOURNALS // Vladikavkazskii Matematicheskii Zhurnal // Archive

Vladikavkaz. Mat. Zh., 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

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.

UDC: 517.98

MSC: 46A40, 47A65

Received: 05.06.2008

Language: English



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