The Dunford–Pettis property, the Gelfand–Phillips property, and L-sets

DOI10.4064/cm106-2-11zbMath1118.46017OpenAlexW2033613939MaRDI QIDQ3414736

Paul W. Lewis, Ioana Ghenciu

Publication date: 10 January 2007

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm106-2-11

zbMATH Keywords

Dunford-Pettis propertycompletely continuous operatorGelfand-Phillips property\(L\)-sets\(w^*\)-\(w\) continuity

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03) Spaces of operators; tensor products; approximation properties (46B28)

Related Items (16)

Banach spaces with the (strong) Gelfand-Phillips property ⋮ \(L\)-sets and property \((SR^*)\) in spaces of compact operators ⋮ The \(p\)-Gelfand-Phillips property in spaces of operators and Dunford-Pettis like sets ⋮ A note on weak reciprocal Dunford-Pettis sets ⋮ Locally convex spaces with the strong Gelfand-Phillips property ⋮ Isomorphic properties in spaces of compact operators ⋮ A new class of Banach spaces and its relation with some geometric properties of Banach spaces ⋮ Some new results on L-weakly compact sets and applications ⋮ On the work of Lech Drewnowski ⋮ A note on L-Dunford-Pettis sets in a topological dual Banach space ⋮ Sequentially Right Banach spaces of order $p$ ⋮ Banach spaces in which weakly \(p\)-Dunford-Pettis sets are relatively compact ⋮ A note on Dunford-Pettis like properties and complemented spaces of operators ⋮ The reciprocal Dunford--Pettis property of order $p$ in projective tensor products ⋮ Unnamed Item ⋮ Sequentially right-like properties on Banach spaces

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