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Dunford-Pettis sets in Banach lattices

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Author(s): B. Aqzzouz | K. Bouras

Journal: Acta Mathematica Universitatis Comenianae
ISSN 0862-9544

Volume: LXXXI;
Issue: 2;
Start page: 185;
Date: 2012;
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Keywords: 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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