p. 185 - 196 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; PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2012, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |