A. G. Kusraev, “When all separately band preserving bilinear operators are symmetric?”, Vladikavkaz. Mat. Zh., 2007, Volume 9, Number 2,Pages <nobr>22

This article is cited in 2 papers

When all separately band preserving bilinear operators are symmetric?

A. G. Kusraev

Institute of Applied Mathematics and Informatics, Vladikavkaz Science Center of the RAS, Vladikavkaz, Russia

Abstract: A purely algebraic characterization of universally complete vector lattices in which all separately band preserving bilinear operators are symmetric is obtained: this class consists of universally complete vector lattices with $\sigma$-distributive Boolean algebra of bands.

Key words: vector lattice, band preserving operator, orthosymmetric bilinear operator, $\sigma$-distributive Boolean algebra, Boolean valued model.

UDC: 517.98

MSC: 46A40, 47A65, 03C90, 06F25

Received: 22.03.2007

Language: English