Semi-compactness of positive Dunford–Pettis operators on Banach lattices

DOI10.1090/S0002-9939-08-09032-1zbMath1152.47012MaRDI QIDQ3506735

Redouane Nouira, Belmesnaoui Aqzzouz, Larbi Zraoula

Publication date: 17 June 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Dunford-Pettis operatororder continuous normsemi-compact operatordiscrete vector lattice

Mathematics Subject Classification ID

Banach lattices (46B42) Linear operators defined by compactness properties (47B07) Linear operators on ordered spaces (47B60) Ordered topological linear spaces, vector lattices (46A40) Ordered normed spaces (46B40)

Related Items (5)

The almost Dunford–Pettis property of semi-compact operators ⋮ The relationship between weak Dunford-Pettis operators and semi-compact operators ⋮ Semi-compactness of almost Dunford–Pettis operators on Banach lattices ⋮ Some properties of the class of positive Dunford--Pettis operators ⋮ Characterization of the order weak compactness of semi-compact operators

Cites Work

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• About positive Dunford--Pettis operators on Banach lattices
• Ideal properties of regular operators beween Banach lattices
• Compactness of positive Dunford--Pettis operators on Banach lattices
• Sur les opérateurs de Dunford-Pettis positifs qui sont faiblement compacts
• EXTREMAL STRUCTURE OF CONES OF OPERATORS
• Dunford-Pettis Operators on Banach Lattices
• Converses for the Dodds–Fremlin and Kalton–Saab theorems

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