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We characterize Banach lattices on which every weak Banach-Saks operator is b-weakly compact.
We establish necessary and sufficient conditions under which the linear span of positive AM-compact operators (in the sense of Fremlin) from a Banach lattice into a Banach lattice is an order -complete vector lattice.
We characterize Banach lattices on which every positive almost Dunford-Pettis operator is weakly compact.
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