This article is cited in 1 paper

An almost $f$-algebra multiplication extends from a majorizing sublattice

A. G. Kusraev

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

Abstract: It is proved that an almost $f$-algebra multiplication defined on a majorizing sublattice of a Dedekind complete vector lattice can be extended to the whole vector lattice.

Key words: almost $f$-algebra, $f$-algebra, vector lattice, majorizing sublattice, lattice homomorphism, positive operator, square of a vector lattice.

UDC: 512.555+517.982

MSC: 06F25, 46A40

Received: 24.03.2008

Language: English

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