On Banach lattices of operators

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1974 English Publisher:Springer Science and Business Media LLCJournal:Israel Journal of Mathematics, volume 19, pages 264-265 (issn: 0021-2172, eissn: 1565-8511,

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Authors: Orno, Peter;

doi: 10.1007/bf02757723

On Banach lattices of operators

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Abstract

Let Λ1 and Λ2 be infinte-dimensional, Banach lattices such thatc o is not finitely representable in Λ2. Then the bounded linear operators from Λ1 to Λ2 form a lattice if and only if Λ1 is an abstract AL space.

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Keywords

Groups and semigroups of linear operators, their generalizations and applications, Ordered topological linear spaces, vector lattices

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