Article

On the class of weak almost limited operators

DOI: 10.2989/16073606.2015.1015652
Author(s): Aziz Elbour Universit´e Moulay Isma¨ıl, Morocco, Nabil Machrafi Universit´e Ibn Tofail, Morocco, Mohammed Moussa Universit´e Ibn Tofail, Morocco,

Abstract

We introduce and study the class of weak almost limited operators. We establish a characterization of pairs of Banach lattices E, F for which every positive weak almost limited operator T : EF is almost limited (resp. almost Dunford- Pettis). As consequences, we will give some interesting results.

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