Geodesic
On the class of positive disjoint weak $p$-convergent operators
Mathematica Bohemica, Tome 149 (2024) no. 3, pp. 409-418 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We introduce and study the disjoint weak $p$-convergent operators in Banach lattices, and we give a characterization of it in terms of sequences in the positive cones. As an application, we derive the domination and the duality properties of the class of positive disjoint weak $p$-convergent operators. Next, we examine the relationship between disjoint weak $p$-convergent operators and disjoint $p$-convergent operators. Finally, we characterize order bounded disjoint weak $p$-convergent operators in terms of sequences in Banach lattices.
We introduce and study the disjoint weak $p$-convergent operators in Banach lattices, and we give a characterization of it in terms of sequences in the positive cones. As an application, we derive the domination and the duality properties of the class of positive disjoint weak $p$-convergent operators. Next, we examine the relationship between disjoint weak $p$-convergent operators and disjoint $p$-convergent operators. Finally, we characterize order bounded disjoint weak $p$-convergent operators in terms of sequences in Banach lattices.
DOI : 10.21136/MB.2023.0160-22
Classification : 46A40, 46B40, 46B42
Keywords: $p$-convergent operator; disjoint $p$-convergent operator; positive Schur property of order $p$; order continuous norm; Banach lattice 
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Retbi, Abderrahman. On the class of positive disjoint weak $p$-convergent operators. Mathematica Bohemica, Tome 149 (2024) no. 3, pp. 409-418. doi: 10.21136/MB.2023.0160-22

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