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On uniform topological algebras

2013/01/20 by Mohammed El Azhari, M. El Azhari, Azhari, M. El
Computer Science · Mathematics · #46H05 #Advanced Algebra and Logic #Advanced Banach Space Theory #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:46H05

paper · pdf · doi:10.48550/arxiv.1301.4685

This paper is accepted for publication in Annals of the Alexandru Ioan Cuza University - Mathematics

openalex publication_date 2013/01/20 · arxiv created 2013/10/18 · arxiv updated 2013/10/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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