Compactness of positive semi-compact operators on Banach lattices

DOI10.1007/BF02874772zbMath1162.46302OpenAlexW2001211427MaRDI QIDQ997588

Redouane Nouira, Belmesnaoui Aqzzouz, Larbi Zraoula

Publication date: 7 August 2007

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/bf02874772

zbMATH Keywords

Compact operatorDiscrete vector latticeOrder continuous normSemi-compact operator

Mathematics Subject Classification ID

Banach lattices (46B42) Ordered topological linear spaces, vector lattices (46A40) Ordered normed spaces (46B40)

Related Items (2)

Some compactness properties of \(L\)-weakly and \(M\)-weakly compact operators ⋮ Some characterizations of compact operators on Banach lattices

Cites Work

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• Compact operators in Banach lattices
• On positive precompact operators
• Compactness of positive Dunford--Pettis operators on Banach lattices
• Sur les opérateurs de Dunford-Pettis positifs qui sont faiblement compacts
• Compactness properties of operators dominated by AM-compact operators
• Dunford-Pettis Operators on Banach Lattices
• Converses for the Dodds–Fremlin and Kalton–Saab theorems

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