A characterization of complete topological vector spaces with applications to spaces of measurable functions
Functional Analysis
2025-02-20 v1
Abstract
The aim of this paper is twofold. Firstly, we give easy-to-handle criteria to determine whether a given family of subsets of a vector space is a neighbourhood basis of the origin for a complete vector topology. Then, we apply these criteria to construct quite general complete topological vector spaces of measurable functions.
Cite
@article{arxiv.2502.13587,
title = {A characterization of complete topological vector spaces with applications to spaces of measurable functions},
author = {José L. Ansorena and Alejandro Marcos},
journal= {arXiv preprint arXiv:2502.13587},
year = {2025}
}
Comments
22 pages