Belmesnaoui Aqzzouz, Aziz Elbour, Othman Aboutafail
The weak compactness of almost Dunford-Pettis operators

Abstract:We characterize Banach lattices on which every positive almost Dunford-Pettis operator is weakly compact.

Keywords: almost Dunford-Pettis operator, weakly compact operator, order continuous norm, reflexive Banach space
AMS Subject Classification: 46A40 46B40 46B42