Characterizations and domination property of weak $p$-convergent operators
Acta mathematica Universitatis Comenianae, Tome 93 (2024) no. 4, pp. 225-234
Abderrahman Retbi; Abderrahman Retbi. Characterizations and domination property of weak $p$-convergent operators. Acta mathematica Universitatis Comenianae, Tome 93 (2024) no. 4, pp. 225-234. http://geodesic.mathdoc.fr/item/AMUC_2024_93_4_a3/
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     author = {Abderrahman Retbi and Abderrahman Retbi},
     title = { Characterizations and domination property of weak $p$-convergent operators},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {225--234},
     year = {2024},
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     number = {4},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2024_93_4_a3/}
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In this paper, we give new characterizations of weak $p$-convergent operators between Banach spaces. Next, we establish some lattice properties of these operators. Finally, we examine the domination property of the class of positive weak $p$-convergent operators between two Banach lattices.