ACTA MATHEMATICA
UNIVERSITATIS COMENIANAE




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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Acta Mathematica Universitatis Comenianae
ISSN 0862-9544   (Printed edition)

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