A complement of positive weak almost Dunford-Pettis operators on Banach lattices

Abderrahman Retbi

Address: Université Ibn Tofail, Faculté des Sciences, Département de Mathématiques, B.P. 133, Kénitra, Morocco

E-mail: abderrahmanretbi@hotmail.com

Abstract: In this paper, we give some necessary and sufficient conditions such that each positive operator between two Banach lattices is weak almost Dunford-Pettis, and we derive some interesting results about the weak Dunford-Pettis property in Banach lattices.

AMSclassification: primary 46A40; secondary 46B40, 46G42.

Keywords: Banach lattice, weak almost Dunford-Pettis operator, weak Dunford-Pettis property.

DOI: 10.5817/AM2019-1-1