Article

On the class of weak almost limited operators

Published in: Quaestiones Mathematicae
Volume 38 , issue 6 , 2015 , pages: 817–827

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

Keywords: Primary 46B42 , Secondary 46B50 , 47B65 , Primary 46B42 , Secondary 46B50 , 47B65

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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 : E→F is almost limited (resp. almost Dunford- Pettis). As consequences, we will give some interesting results.

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