Zabeti, Omid

[ 1 ] - Some results about unbounded convergences in Banach lattices

Suppose E is a Banach lattice. A net  in E is said to be unbounded absolute weak convergent ( uaw-convergent, for short) to  provided that the net  convergences to zero, weakly.  In this note, we further investigate unbounded absolute weak convergence in E. We show that this convergence is stable under passing to and   from ideals and sublattices. Compatible with un-convergenc, we show that ...