A Characterization of Discrete Banach Lattices with Order Continuous Norms

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Sep 1988Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 104, page 197 (issn: 0002-9939,

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Authors: Wnuk, Witold;

doi: 10.2307/2047485 , 10.1090/s0002-9939-1988-0958066-0

A Characterization of Discrete Banach Lattices with Order Continuous Norms

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Abstract

We give a characterization of those σ \sigma -Dedekind complete Banach lattices for which every continuous linear operator T : E → c 0 T:E \to {c_0} is a difference of two positive linear operators from E E into c 0 {c_0} .

Keywords

Banach lattices, \(\sigma\)-Dedekind complete, Linear spaces of operators, Linear operators on ordered spaces, order continuous norm, Dedekind complete Banach lattice, Banach lattice, regular operators, regular norm

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