Article ID Journal Published Year Pages File Type
4623789 Journal of Mathematical Analysis and Applications 2006 11 Pages PDF
Abstract

We give several characterizations of Banach lattices on which each positive Dunford–Pettis operator is compact. As consequences, we obtain new sufficient and necessary conditions under which a norm of a Banach lattice is order continuous, a positive weakly compact operator is compact and the dual operator of a positive Dunford–Pettis operator is Dunford–Pettis.

Related Topics
Physical Sciences and Engineering Mathematics Analysis