Geodesic
The weak compactness of almost Dunford-Pettis operators
Commentationes Mathematicae Universitatis Carolinae, Tome 52 (2011) no. 1, pp. 31-35.

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We characterize Banach lattices on which every positive almost Dunford-Pettis operator is weakly compact.
Classification : 46A40, 46B40, 46B42
Keywords: almost Dunford-Pettis operator; weakly compact operator; order continuous norm; reflexive Banach space 
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Aqzzouz, Belmesnaoui; Elbour, Aziz; Aboutafail, Othman. The weak compactness of almost Dunford-Pettis operators. Commentationes Mathematicae Universitatis Carolinae, Tome 52 (2011) no. 1, pp. 31-35. http://geodesic.mathdoc.fr/item/CMUC_2011__52_1_a2/