About positive weak Dunford-Pettis operators on Banach lattices

DOI10.1016/J.JMAA.2011.04.011zbMath1222.47062OpenAlexW2075625087MaRDI QIDQ542872

Mohammed Moussa, Khalid Bouras

Publication date: 20 June 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.04.011

zbMATH Keywords

Schur propertyKB-spaceDunford-Pettis operatorpositive Schur propertyweak Dunford-Pettis operatororder continuous norm

Mathematics Subject Classification ID

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

Related Items (7)

The positive Schur property on positive projective tensor products and spaces of regular multilinear operators ⋮ On \(p\)-convergent operators on Banach lattices ⋮ The relationship between weak Dunford-Pettis operators and semi-compact operators ⋮ A note on L-Dunford-Pettis sets in a topological dual Banach space ⋮ On L-, M-Weakly Compact and Rank-One Operators ⋮ On the Schur, positive Schur and weak Dunford–Pettis properties in Fréchet lattices ⋮ On weak-starp-convergent operators

Cites Work

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• \(L\)-weakly and \(M\)-weakly compact operators
• Compact operators in Banach lattices
• Banach lattices
• A note on the positive Schur property
• Converses for the Dodds–Fremlin and Kalton–Saab theorems

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