The weak compactness of almost Dunford-Pettis operators
We characterize Banach lattices on which every positive almost Dunford-Pettis operator is weakly compact.
Some properties of weak Banach-Saks operators
We establish necessary and sufficient conditions under which weak Banach-Saks operators are weakly compact (respectively, L-weakly compact; respectively, M-weakly compact). As consequences, we give some interesting characterizations of order continuous norm (respectively, reflexive Banach lattice).
The -weak compactness of weak Banach-Saks operators
We characterize Banach lattices on which every weak Banach-Saks operator is b-weakly compact.
Page 1