Topological algebras with subadditive boundedness radius

Let $A$ be a topological algebra and $\beta$ a subadditive boundedness radius on $A$. In this paper we show that $\beta$ is, under certain conditions, automatically submultiplicative. Then we apply this fact to prove that the spectrum of any element of $A$ is non-empty. Finally, in the case when $A$...

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Bibliographic Details
Main Authors: M. Sabet, R. G. Sanati
Format: Article
Language:English
Published: Universidad de La Frontera 2020-12-01
Series:Cubo
Subjects:
Online Access:http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2464/2022