On the class of positive almost weak Dunford–Pettis operators

被引：0
作者：
Khalid Bouras
Mohammed Moussa
机构：
[1] Université Ibn Tofail,Département de Mathématiques, Faculté des Sciences
来源：
Positivity | 2013年 / 17卷
关键词：
Weak almost Dunford–Pettis operator; Almost Dunford–Pettis operator; Order continuous norm; 46A40; 46B40; 46B42;
D O I：
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摘要：
We introduce and study the class of almost weak Dunford–Pettis operators and we derive the following interesting consequence: other characterizations of the weak Dunford–Pettis property. After that we characterize pairs of Banach lattices for which the adjoint of almost weak Dunford–Pettis operator is almost Dunford–Pettis. Finally, we establish a necessary and sufficient conditions on the pair of Banach lattices E and F which guarantees that if T : E → F is a positive almost weak Dunford–Pettis then T is almost Dunford–Pettis.
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页码：589 / 600
页数：11
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