A Characterization of Discrete Banach Lattices with Order Continuous Norms

DOI10.2307/2047485zbMath0673.46011OpenAlexW4251828805MaRDI QIDQ3827073

Witold Wnuk

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047485

zbMATH Keywords

Banach latticeregular operatorsorder continuous normregular normDedekind complete Banach lattice\(\sigma\)-Dedekind complete

Mathematics Subject Classification ID

Banach lattices (46B42) Linear operators on ordered spaces (47B60) Linear spaces of operators (47L05)

Related Items (7)

Some characterizations of L-weakly compact sets using the unbounded absolute weak convergence and applications ⋮ Some results of \(( \sigma \)-)Levi operators in Banach lattices ⋮ Some characterizations of almost limited operators ⋮ Some properties of almost interval-preserving operators ⋮ Weak compactness of almost limited operators ⋮ Some new results on the class of AM-compact operators ⋮ Almost limited sets in Banach lattices

Cites Work

• Some characterizations of AM- and AL-spaces
• Charakterisierung einiger topologischer und ordnungstheoretischer Eigenschaften von Banachverbänden mit Hilfe disjunkter Folgen
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