Weak compactness of almost limited operators

DOI10.1155/2014/263159zbMath1385.47011arXiv1403.3348OpenAlexW2124030955WikidataQ59057391 ScholiaQ59057391MaRDI QIDQ2256670

Mohammed Moussa, Aziz Elbour, Nabil Machrafi

Publication date: 20 February 2015

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.3348

zbMATH Keywords

Banach latticeorder continuityweakly compact operatordisjoint sequence

Mathematics Subject Classification ID

Banach lattices (46B42) Linear operators defined by compactness properties (47B07) Linear operators on ordered spaces (47B60)

Related Items (11)

On the class of disjoint limited completely continuous operators ⋮ Weak \(M\) weakly compact and weak \(L\) weakly compact operators ⋮ The relationship between weak Dunford-Pettis operators and semi-compact operators ⋮ Disjointly weak compactness in Banach lattices ⋮ Operators affiliated to Banach lattice properties and their enveloping norms ⋮ On the positive weak almost limited operators ⋮ The strong Gelfand-Phillips property in Banach lattices ⋮ The relationship between almost Dunford-Pettis operators and almost limited operators ⋮ On the class of almost (L) limited operators ⋮ Unnamed Item ⋮ On the product of almost Dunford-Pettis and order weakly compact operators

Cites Work

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• On the dual positive Schur property in Banach lattices
• \(L\)-weakly and \(M\)-weakly compact operators
• Banach lattices
• Almost limited sets in Banach lattices
• On the class of weak almost limited operators
• A Characterization of Discrete Banach Lattices with Order Continuous Norms

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