Topological algebras with subadditive boundedness radius

dc.creator	Sabet, M.
dc.creator	Sanati, R. G.
dc.date	2020-12-07
dc.date.accessioned	2021-08-17T20:35:25Z
dc.date.available	2021-08-17T20:35:25Z
dc.identifier	http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2464
dc.identifier	10.4067/S0719-06462020000300289
dc.identifier.uri	https://revistaschilenas.uchile.cl/handle/2250/174234
dc.description	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 \(A\) is a normed algebra, we compare the initial normed topology with the normed topology \(\tau_{\beta}\), induced by \(\beta\) on \(A\), where \(\beta^{-1} (0)=0\).	en-US
dc.format	application/pdf
dc.language	eng
dc.publisher	Universidad de La Frontera. Temuco, Chile.	en-US
dc.relation	http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2464/2022
dc.rights	https://creativecommons.org/licenses/by-nc/4.0/	en-US
dc.source	CUBO, A Mathematical Journal; Vol. 22 No. 3 (2020); 289–297	en-US
dc.source	CUBO, A Mathematical Journal; Vol. 22 Núm. 3 (2020); 289–297	es-ES
dc.source	0719-0646
dc.source	0716-7776
dc.subject	Topological algebra	en-US
dc.subject	strongly sequential algebra	en-US
dc.subject	boundedness radius	en-US
dc.title	Topological algebras with subadditive boundedness radius	en-US
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion