A note on L-Dunford-Pettis sets in a topological dual Banach space

DOI10.21136/CMJ.2020.0119-19OpenAlexW3022980361MaRDI QIDQ5140398

Abderrahman Retbi

Publication date: 15 December 2020

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/cmj.2020.0119-19

zbMATH Keywords

Banach latticeweak Dunford-Pettis propertyweak almost Dunford-Pettis operator$L$-Dunford-Pettis set

Mathematics Subject Classification ID

Banach lattices (46B42) Linear operators on ordered spaces (47B60) Operators on Banach spaces (47B01)

Cites Work

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• About positive weak Dunford-Pettis operators on Banach lattices
• Duality property for positive weak Dunford-Pettis operators
• Compact operators in Banach lattices
• Banach lattices
• Almost limited sets in Banach lattices
• (L) sets and almost (L) sets in Banach lattices
• The Dunford–Pettis property, the Gelfand–Phillips property, and L-sets
• L-Dunford-Pettis property in Banach spaces

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