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Some results on the class of $σ$ -unbounded Dunford-Pettis operators

Noufissa Hafidi; Jawad H'michane — 2021

Commentationes Mathematicae Universitatis Carolinae

We introduce and study the class of unbounded Dunford--Pettis operators. As consequences, we give basic properties and derive interesting results about the duality, domination problem and relationship with other known classes of operators.

Some properties of weak Banach-Saks operators

Othman Aboutafail; Larbi Zraoula; Noufissa Hafidi — 2021

Mathematica Bohemica

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).

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Some results on the class of σ -unbounded Dunford-Pettis operators

Some properties of weak Banach-Saks operators

Some results on the class of $σ$ -unbounded Dunford-Pettis operators