MATHEMATICA BOHEMICA, Vol. 138, No. 2, pp. 113-120, 2013

The $ b$-weak compactness of weak Banach-Saks operators

Belmesnaoui Aqzzouz, Othman Aboutafail, Taib Belghiti, Jawad H'Michane

Belmesnaoui Aqzzouz, Université Mohammed V-Souissi, Faculté des Sciences Economiques, Juridiques et Sociales, Département d'Economie, B. P. 5295, SalaAljadida, Morocco, e-mail: baqzzouz@hotmail.com; Othman Aboutafail, Taib Belghiti, Jawad H'Michane, Université Ibn Tofail, Faculté des Sciences, Département de Mathématiques, B. P. 133, Kénitra, Morocco

Abstract: We characterize Banach lattices on which every weak Banach-Saks operator is b-weakly compact.

Keywords: b-weakly compact operator, weak Banach-Saks operator, Banach lattice, (b)-property, KB-space

Classification (MSC 2010): 46A40, 46B40, 46B42

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