On the class of positive almost weak Dunford-Pettis operators
Abderrahman Retbi (2015)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, we introduce and study the class of almost weak Dunford-Pettis operators. As consequences, we derive the following interesting results: the domination property of this class of operators and characterizations of the wDP property. Next, we characterize pairs of Banach lattices for which each positive almost weak Dunford-Pettis operator is almost Dunford-Pettis.