Some properties of the class of positive Dunford--Pettis operators

DOI10.1016/J.JMAA.2008.12.063zbMath1167.47033OpenAlexW1971295131MaRDI QIDQ1018187

Belmesnaoui Aqzzouz, Aziz Elbour, Jawad H'michane

Publication date: 13 May 2009

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.2008.12.063

zbMATH Keywords

Banach latticeweakly compact operatorscompact operatorsorder continuous normDunford-Pettis OperatorsL-weakly compact operatorsM-weakly compact operators

Mathematics Subject Classification ID

Banach lattices (46B42) Positive linear operators and order-bounded operators (47B65)

Related Items (7)

Some characterizations of weakly compact operator on Banach lattices ⋮ Disjointly weak compactness in Banach lattices ⋮ On the class of order almost L-weakly compact operators ⋮ Some new results on L-weakly compact sets and applications ⋮ Compactness of L-weakly and M-weakly compact operators on Banach lattices ⋮ On L-, M-Weakly Compact and Rank-One Operators ⋮ L- and M-weak compactness of positive semi-compact operators

Cites Work

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• Banach lattices
• Sur les opérateurs de Dunford-Pettis positifs qui sont faiblement compacts
• A note on the positive Schur property
• Semi-compactness of positive Dunford–Pettis operators on Banach lattices
• Dunford-Pettis Operators on Banach Lattices
• Converses for the Dodds–Fremlin and Kalton–Saab theorems

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