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