Weak and almost Dunford–Pettis operators on Banach lattices

DOI10.1515/DEMA-2013-0431zbMath1280.46010OpenAlexW288134323MaRDI QIDQ4916767

Khalid Bouras, Belmesnaoui Aqzzouz

Publication date: 25 April 2013

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2013-0431

zbMATH Keywords

almost Dunford-Pettis operatorweak Dunford-Pettis operatororder continuous normdiscrete vector lattice

Mathematics Subject Classification ID

Banach lattices (46B42) Linear operators defined by compactness properties (47B07) Positive linear operators and order-bounded operators (47B65)

Related Items (5)

The relationship between weak Dunford-Pettis operators and semi-compact operators ⋮ Duality property for positive weak Dunford-Pettis operators ⋮ On L-, M-Weakly Compact and Rank-One Operators ⋮ Some results on unbounded absolute weak Dunford-Pettis operators ⋮ On the product of almost Dunford-Pettis and order weakly compact operators

Cites Work

• Positive almost Dunford-Pettis operators and their duality
• Duality property for positive weak Dunford-Pettis operators
• Some characterizations of almost Dunford-Pettis operators and applications
• \(L\)-weakly and \(M\)-weakly compact operators
• Ideal properties of regular operators beween Banach lattices
• Compact operators in Banach lattices
• Banach lattices
• Relative weak compactness of solid hulls in Banach lattices
• On property (b) of vector lattices
• Converses for the Dodds–Fremlin and Kalton–Saab theorems
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