On the modulus of disjointness preserving operators on complex vector lattices

descriptionPublicationkeyboard_double_arrow_right Article 01 Nov 2005 English Publisher:Springer Science and Business Media LLCJournal:Algebra universalis, volume 54, pages 185-193 (issn: 0002-5240, eissn: 1420-8911,

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Authors: Ben Amor, Fethi; Boulabiar, Karim;

doi: 10.1007/s00012-005-1937-x

On the modulus of disjointness preserving operators on complex vector lattices

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Abstract

The authors present a new proof of the existence of the modulus stated in the title. Their proof is constructive (free of the Axiom of Choice), straightforward (i.e., free of the Riesz-Kakutani formula) and intrinsic (free of any representation).

Related Organizations

University of Mississippi
United States
University of Carthage
Tunisia

Keywords

Linear operators on ordered spaces, Ordered abelian groups, Riesz groups, ordered linear spaces, Ordered topological linear spaces, vector lattices

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