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Almost L-Dunford-Pettis sets in Banach lattices and its applications
2020
Journal:  
Hacettepe Journal of Mathematics and Statistics
Author:  
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.

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2020
Author:  
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Hacettepe Journal of Mathematics and Statistics

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

Metrics
Article : 1.771
Cite : 682
2023 Impact : 0.004
Hacettepe Journal of Mathematics and Statistics