On uniform topological algebras
Functional Analysis
2013-10-21 v2
Abstract
The uniform norm on a uniform normed Q-algebra is the only uniform Q-algebra norm on it. The uniform norm on a regular uniform normed Q-algebra with unit is the only uniform norm on it. Let A be a uniform topological algebra whose spectrum M (A) is equicontinuous, then A is a uniform normed algebra. Let A be a regular semisimple commutative Banach algebra, then every algebra norm on A is a Q-algebra norm on A.
Cite
@article{arxiv.1301.4685,
title = {On uniform topological algebras},
author = {M. El Azhari},
journal= {arXiv preprint arXiv:1301.4685},
year = {2013}
}
Comments
This paper is accepted for publication in Annals of the Alexandru Ioan Cuza University - Mathematics