Asymmetric normed Baire space
Functional Analysis
2021-06-02 v2
Abstract
We prove that an asymmetric normed space is never a Baire space if the topology induced by the asymmetric norm is not equivalent to the topology of a norm. More precisely, we show that a biBanach asymmetric normed space is a Baire space if and only if it is isomorphic to its associated normed space.
Keywords
Cite
@article{arxiv.2105.04862,
title = {Asymmetric normed Baire space},
author = {Mohammed Bachir},
journal= {arXiv preprint arXiv:2105.04862},
year = {2021}
}