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Dunford-Pettis sets in Banach latticesKeywords: Dunford-Pettis set, Dunford-Pettis operator, AM-compact operator, weakly compact operator, compact operator. 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).
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