Geodesic
On the class of positive almost weak$^{\star}$ Dunford-Pettis operators
Commentationes Mathematicae Universitatis Carolinae, Tome 56 (2015) no. 3, pp. 347-354.

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In this paper, we introduce and study the class of almost weak$^{\star}$ Dunford-Pettis operators. As consequences, we derive the following interesting results: the domination property of this class of operators and characterizations of the wDP$^{\star}$ property. Next, we characterize pairs of Banach lattices for which each positive almost weak$^{\star}$ Dunford-Pettis operator is almost Dunford-Pettis.
DOI : 10.14712/1213-7243.2015.128
Classification : 46A40, 46B40
Keywords: almost weak$^{\star}$ Dunford-Pettis operator; almost Dunford-Pettis operator; weak Dunford-Pettis$^{\star}$ property; positive Schur property; order continuous norm 
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Retbi, Abderrahman. On the class of positive almost weak$^{\star}$ Dunford-Pettis operators. Commentationes Mathematicae Universitatis Carolinae, Tome 56 (2015) no. 3, pp. 347-354. doi : 10.14712/1213-7243.2015.128. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.128/

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