Almost Dunford-Pettis sets in Banach lattices

DOI10.1007/s12215-013-0105-yzbMath1315.46023OpenAlexW2060445560MaRDI QIDQ369366

Khalid Bouras

Publication date: 24 September 2013

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-013-0105-y

zbMATH Keywords

KB-spacealmost Dunford-Pettis setL-weakly compact setspositive Schur propertyrelatively weakly compact setsweak Dunford-Pettis property

Mathematics Subject Classification ID

Banach lattices (46B42)

Related Items (13)

Disjointly weak compactness in Banach lattices ⋮ Positively limited sets in Banach lattices ⋮ Some characterizations of almost \(p\)-convergent operators and applications ⋮ Operators affiliated to Banach lattice properties and their enveloping norms ⋮ The property (d) and the almost limited completely continuous operators ⋮ Grothendieck-type subsets of Banach lattices ⋮ Almost L-Dunford-Pettis sets in Banach lattices and its applications ⋮ Order almost DUNFORD-PETTIS Operators on Banach lattices ⋮ Almost limited sets in Banach lattices ⋮ Polynomial versions of almost Dunford-Pettis sets and almost limited sets in Banach lattices ⋮ Polynomial versions of weak Dunford-Pettis properties in Banach lattices ⋮ A complement of positive weak almost Dunford-Pettis operators on Banach lattices ⋮ ON A QUESTION OF BOURAS CONCERNING WEAK COMPACTNESS OF ALMOST DUNFORD–PETTIS SETS

Cites Work

• \(L\)-weakly and \(M\)-weakly compact operators
• Compactness properties of abstract kernel operators
• Banach lattices
• Dunford–Pettis sets
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