A Note on L-Dunford-Pettis Sets in a Topological Dual Banach Space

被引：0
作者：
Abderrahman Retbi
机构：
[1] Université Ibn Tofail,Faculté des Sciences, Département de Mathématiques
来源：
Czechoslovak Mathematical Journal | 2020年 / 70卷
关键词：
L-Dunford-Pettis set; weak almost Dunford-Pettis operator; weak Dunford-Pettis property; Banach lattice; 46A40; 46B40; 46B42;
D O I：
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中图分类号：
学科分类号：
摘要：
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 LDunford-Pettis, and Dunford-Pettis (relatively compact) sets in topological dual Banach spaces.
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页码：1047 / 1057
页数：10
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