Geodesic
A note on L-Dunford-Pettis sets in a topological dual Banach space
Czechoslovak Mathematical Journal, Tome 70 (2020) no. 4, pp. 1047-1057
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The present paper is devoted to some applications of the notion of L-Dunford-Pettis sets to several classes of operators on Banach lattices. More precisely, we establish some characterizations of weak Dunford-Pettis, Dunford-Pettis completely continuous, and weak almost Dunford-Pettis operators. Next, we study the relationships between L-Dunford-Pettis, and Dunford-Pettis (relatively compact) sets in topological dual Banach spaces.
The present paper is devoted to some applications of the notion of L-Dunford-Pettis sets to several classes of operators on Banach lattices. More precisely, we establish some characterizations of weak Dunford-Pettis, Dunford-Pettis completely continuous, and weak almost Dunford-Pettis operators. Next, we study the relationships between L-Dunford-Pettis, and Dunford-Pettis (relatively compact) sets in topological dual Banach spaces.
DOI : 10.21136/CMJ.2020.0119-19
Classification : 46A40, 46B40, 46B42
Keywords: L-Dunford-Pettis set; weak almost Dunford-Pettis operator; weak Dunford-Pettis property; Banach lattice 
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Retbi, Abderrahman. A note on L-Dunford-Pettis sets in a topological dual Banach space. Czechoslovak Mathematical Journal, Tome 70 (2020) no. 4, pp. 1047-1057. doi: 10.21136/CMJ.2020.0119-19

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