AM-compactness of positive Dunford-Pettis operators on Banach lattices

DOI10.1007/BF03032084zbMath1140.47029MaRDI QIDQ2467948

Belmesnaoui Aqzzouz, Larbi Zraoula

Publication date: 29 January 2008

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

Dunford-Pettis operatorAM-compact operatordiscrete Banach latticeorder-continuous norm

Mathematics Subject Classification ID

Banach lattices (46B42) Linear operators defined by compactness properties (47B07) Positive linear operators and order-bounded operators (47B65) Ordered topological linear spaces, vector lattices (46A40) Ordered normed spaces (46B40)

Related Items (2)

On the class of U-Dunford-Pettis operators ⋮ AM-compactness of positive Dunford-Pettis operators on Banach lattices

Cites Work

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• About positive Dunford--Pettis operators on Banach lattices
• Ideal properties of regular operators beween Banach lattices
• On positive precompact operators
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• AM-compactness of positive Dunford-Pettis operators on Banach lattices
• Domination by positive disjointly strictly singular operators
• 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
• o-Weakly Compact Mappings of Riesz Spaces
• Converses for the Dodds–Fremlin and Kalton–Saab theorems

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