DOMINATION BY POSITIVE WEAK DUNFORD–PETTIS OPERATORS ON BANACH LATTICES

DOI10.1017/S000497271400032XzbMath1348.47030arXiv1311.2808MaRDI QIDQ2922945

Jin Xi Chen, Zi-Li Chen, Guo Xing Ji

Publication date: 15 October 2014

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.2808

zbMATH Keywords

Banach latticepositive operatorweak* Dunford-Pettis operatorlimited setdomination property

Mathematics Subject Classification ID

Banach lattices (46B42) Positive linear operators and order-bounded operators (47B65) Compactness in Banach (or normed) spaces (46B50)

Related Items (2)

On positive almost weak* Dunford-Pettis operators ⋮ On weak-starp-convergent operators

Cites Work

• On the class of weak\(^*\) Dunford-Pettis operators
• Dunford-Pettis sets in the space of Bochner integrable functions
• Almost limited sets in Banach lattices
• Limited Operators and Strict Cosingularity
• Converses for the Dodds–Fremlin and Kalton–Saab theorems
• A stronger Dunford–Pettis property

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