Article ID Journal Published Year Pages File Type
4618114 Journal of Mathematical Analysis and Applications 2011 6 Pages PDF
Abstract

We characterize Banach lattices for which each positive weak Dunford–Pettis operator from a Banach lattice into another dual Banach lattice is almost Dunford–Pettis. Also, we give some sufficient and necessary conditions for which the class of positive weak Dunford–Pettis operators coincides with that of positive Dunford–Pettis operators, and we derive some consequences.

Related Topics
Physical Sciences and Engineering Mathematics Analysis