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Dunford-Pettis sets in Banach lattices
B. Aqzzouz and K. Bouras
Received: September 7, 2011; Accepted: March 23, 2012
Abstract. We study the class of Dunford-Pettis sets in Banach lattices. In particular, we establish some sufficient conditions for which a Dunford-Pettis set is relatively weakly compact (resp. relatively compact).
Keywords: Dunford-Pettis set, Dunford-Pettis operator, AM-compact operator, weakly compact operator, compact operator.
AMS Subject classification: Primary: 46A40, 46B40, 46B42;
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