Mathematica Bohemica, Vol. 146, No. 4, pp. 407-418, 2021
Some properties of weak Banach-Saks operators
Othman Aboutafail, Larbi Zraoula, Noufissa Hafidi
Received May 5, 2018. Published online November 19, 2020.
Abstract: 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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Affiliations: Othman Aboutafail, European Community on Computational Methods in Applied Sciences, Laboratory ENSA, Ibn Tofail University, Av. de L'Université, 1400, Kénitra, Morocco, e-mail: moulayothman.aboutafail@uit.ac.ma; Larbi Zraoula, CRMEF Rabat-Salé Kénitra-Annexe Kénitra, Laboratoire de Recherche en Enseignement/Apprentissage en Mathématiques et Informatiques (LaREAMI), CRMEF-Kénitra, Rue Abdelaziz Boutaleb, Kénitra, Morocco, e-mail: zraoularbi@yahoo.fr; Noufissa Hafidi, Université Moulay Ismail, Faculté des Sciences, Département de Mathématiques, Laboratoire de Mathématiques et leurs Applications (LMA), B.P. 11201 Zitoune, Meknès, Morocco, e-mail: hafidinoufissa@gmail.com
