Fremlin tensor product of Banach lattices and unbounded convergences

Abstract

Let $E$ and $F$ be Banach lattices. In this short note, we consider several conditions under them, the Fremlin projective tensor product $E\hat{\otimes }F$ respects either the unbounded norm convergence or unbounded absolute weak convergence.

10 Pages. This paper is a part of a previous long paper with different subject. version 2 is another part of this paper and this version is another part