Disjoint weak star p-convergent operators on Banach lattices, 1 ≤ p ≤ ∞
Keywords:
Banach lattice, order continuous norm, p-convergent operator, disjoint p-convergent operator, positive Schur property of order pAbstract
We introduce and study the disjoint weak star p-convergent operators on Banach lattices, and we explore some characterizations of them in terms of disjoint sequences in the positive cones. As an application, we examine the domination and the duality properties of the class of positive disjoint weak star p-convergent operators. Next, we investigate the connections between our operators and disjoint p-convergent operators. Finally, we deduce some important results about the positive Schur property of order p.
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