About positive Dunford--Pettis operators on Banach lattices

DOI10.1016/J.JMAA.2005.10.083zbMath1112.47028OpenAlexW2045070645MaRDI QIDQ855614

Redouane Nouira, Larbi Zraoula, Belmesnaoui Aqzzouz

Publication date: 7 December 2006

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.2005.10.083

zbMATH Keywords

compact operatorDunford-Pettis operatororder continuous normdiscrete vector lattice

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Positive linear operators and order-bounded operators (47B65)

Related Items (5)

Some characterizations of weakly compact operator on Banach lattices ⋮ Semi-compactness of positive Dunford–Pettis operators on Banach lattices ⋮ AM-compactness of positive Dunford-Pettis operators on Banach lattices ⋮ Some properties of the class of positive Dunford--Pettis operators ⋮ On the duality problem of positive Dunford--Pettis operators on Banach lattices

Cites Work

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• Ideal properties of regular operators beween Banach lattices
• Compact operators in Banach lattices
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• Compactness of positive Dunford--Pettis operators on Banach lattices
• Sur les opérateurs de Dunford-Pettis positifs qui sont faiblement compacts
• Factoring Compact and Weakly Compact Operators through Reflexive Banach Lattices
• Dunford-Pettis Operators on Banach Lattices
• Converses for the Dodds–Fremlin and Kalton–Saab theorems

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