A characterization of order bounded disjointness preserving bilinear operators

A. G. Kusraev^a, S. S. Kutateladze<sup>b

a</sup> 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.

UDC: 517.98

MSC: 46A40, 47A65

Received: 16.02.2015

Language: English