G. Buskes, A. G. Kusraev, “Representation and extension of orthoregular bilinear operators”, Vladikavkaz. Mat. Zh., 2007, Volume 9, Number 1,Pages <nobr>16

This article is cited in 27 papers

Representation and extension of orthoregular bilinear operators

G. Buskes^a, A. G. Kusraev^b

^a Department of Mathematics, University of Mississippi, USA
^b Institute of Applied Mathematics and Informatics, Vladikavkaz Science Center of the RAS, Vladikavkaz, Russia

Abstract: In this paper we study some important structural properties of orthosymmetric bilinear operators using the concept of the square of an Archimedean vector lattice. Some new results on extension and analytical representation of such operators are presented.

Key words: vector lattice, positive bilinear operator, orthosymmetric bilinear operator, orthoregular bilinear operator, lattice bimorphism.

UDC: 517.98

MSC: 46A40, 47A65

Received: 15.03.2006

Language: English