A note on the positive Schur property

DOI10.1017/S0017089500007692zbMath0694.46020MaRDI QIDQ3469733

Witold Wnuk

Publication date: 1989

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Banach latticeregularDunford-Pettis operatorpositive Schur property\(\sigma\)-Dedekind complete

Mathematics Subject Classification ID

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

Related Items (14)

The almost Dunford–Pettis property of semi-compact operators ⋮ On \(p\)-convergent operators on Banach lattices ⋮ Quantitative positive Schur property in Banach lattices ⋮ Complete latticeability in vector‐valued sequence spaces ⋮ Weakly compact sets and weakly compact pointwise multipliers in Banach function lattices ⋮ Disjointly Homogeneous Banach Lattices and Applications ⋮ Semi-compactness of almost Dunford–Pettis operators on Banach lattices ⋮ About positive weak Dunford-Pettis operators on Banach lattices ⋮ Almost limited sets in Banach lattices ⋮ Disjointly homogeneous Banach lattices: duality and complementation ⋮ The strong Gelfand-Phillips property in Banach lattices ⋮ Some properties of the class of positive Dunford--Pettis operators ⋮ The relationship between almost Dunford-Pettis operators and almost limited operators ⋮ Rearrangement invariant spaces satisfying Dunford-Pettis criterion of weak compactness

Cites Work

• Charakterisierung einiger topologischer und ordnungstheoretischer Eigenschaften von Banachverbänden mit Hilfe disjunkter Folgen

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