Almost L-Dunford-Pettis sets in Banach lattices and its applications

Abderrahman Retbi

Type: Article

Publication Date: 2019-05-21

Citations: 2

DOI: https://doi.org/10.15672/hujms.568386

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Abstract

We introduce and study the notion of almost L-Dunford-Pettis sets in Banach lattices and we give some characterizations of it in terms of sequences. As an application, we establish new properties of almost Dunford-Pettis completely continuous operators. Finally, by introducing the concept of aL-Dunford-Pettis property in Banach lattices, we investigate the weak compactness of almost Dunford-Pettis completely continuous operator.

Locations

Hacettepe Journal of Mathematics and Statistics - View - PDF
DergiPark (Istanbul University) - View - PDF

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Citing (2)

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+	Dunford-Pettis sets in the space of Bochner integrable functions	1979	Kevin T. Andrews
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