A topology on the Fremlin tensor product of locally convex-solid vector lattices
Functional Analysis
2024-05-14 v1
Abstract
Suppose E and F are locally convex-solid vector lattices. Although we have a suitable vector lattice structure for the tensor product E and F (known as the Fremlin tensor product and denoted by E\otimesF), there is a lack of topological structure on E\otimes F, in general. In this note, we consider a topological attitude on E\otimes F that makes it into a locally convex-solid vector lattice, as well.
Keywords
Cite
@article{arxiv.2405.07073,
title = {A topology on the Fremlin tensor product of locally convex-solid vector lattices},
author = {Omid Zabeti},
journal= {arXiv preprint arXiv:2405.07073},
year = {2024}
}