[Banach] Abstract of a paper by A. Elbour, N. Machrafi, and M. Moussa

This is an announcement for the paper "On the class of weak almost limited operators" by A. Elbour, N. Machrafi, and M. Moussa.

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

Archive classification: math.FA

Mathematics Subject Classification: 46B42 (Primary) 46B50, 47B65 (Secondary)

Submitted from: azizelbour@hotmail.com

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1403.0136

or

http://arXiv.org/abs/1403.0136