Some characterizations of almost Dunford-Pettis operators and applications

DOI10.1007/s11117-010-0083-7zbMath1244.47034OpenAlexW2062889774MaRDI QIDQ655989

Aziz Elbour, Belmesnaoui Aqzzouz

Publication date: 26 January 2012

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-010-0083-7

zbMATH Keywords

almost Dunford-Pettis operatororder weakly compact operatorsemi-compact operator

Mathematics Subject Classification ID

Banach lattices (46B42) Positive linear operators and order-bounded operators (47B65) Ordered topological linear spaces, vector lattices (46A40) Ordered normed spaces (46B40)

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Cites Work

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• Positive almost Dunford-Pettis operators and their duality
• \(L\)-weakly and \(M\)-weakly compact operators
• Some generalizations on positive Dunford-Pettis operators
• Banach lattices
• On property (b) of vector lattices
• A note on \(b\)-weakly compact operators
• o-Weakly Compact Mappings of Riesz Spaces
• Converses for the Dodds–Fremlin and Kalton–Saab theorems

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