A characterization of complete topological vector spaces with applications to spaces of measurable functions
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.
Fields of Study & Subjects
Advanced Banach Space Theory
Advanced Topology and Set Theory
Fixed Point Theorems Analysis
Publication details
- Journal / source
- Involve a Journal of Mathematics
- Volume
- 19
- Issue
- 3
- Pages
- 517–540
- Publication date
- 12 June 2026
- Language
- EN