2 papers
math.FA2026
Remarks about symmetry-type conditions of conditional bases of Banach spaces
José L. Ansorena, Alejandro Marcos
We investigate the existence of equivalent p-norms, 0< p 1, under which conditional symmetric or spreading bases in quasi-Banach spaces become isometric. For spreading bases (which…
math.FA2025
A characterization of complete topological vector spaces with applications to spaces of measurable functions
José L. Ansorena, Alejandro Marcos
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 f…