Topological algebras with subadditive boundedness radius

Abstract Let A be a topological algebra and β a subadditive boundedness radius on A. In this paper we show that β 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...

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Autores principales:	Sabet,M., Sanati,R. G.
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2020
Materias:	Topological algebra strongly sequential algebra boundedness radius
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462020000300289
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spelling	oai:scielo:S0719-064620200003002892020-12-30Topological algebras with subadditive boundedness radiusSabet,M.Sanati,R. G. Topological algebra strongly sequential algebra boundedness radius Abstract Let A be a topological algebra and β a subadditive boundedness radius on A. In this paper we show that β 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 τβ, induced by β on A, where β−1(0) = 0.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.22 n.3 20202020-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462020000300289en10.4067/S0719-06462020000300289
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Topological algebra strongly sequential algebra boundedness radius
spellingShingle	Topological algebra strongly sequential algebra boundedness radius Sabet,M. Sanati,R. G. Topological algebras with subadditive boundedness radius
description	Abstract Let A be a topological algebra and β a subadditive boundedness radius on A. In this paper we show that β 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 τβ, induced by β on A, where β−1(0) = 0.
author	Sabet,M. Sanati,R. G.
author_facet	Sabet,M. Sanati,R. G.
author_sort	Sabet,M.
title	Topological algebras with subadditive boundedness radius
title_short	Topological algebras with subadditive boundedness radius
title_full	Topological algebras with subadditive boundedness radius
title_fullStr	Topological algebras with subadditive boundedness radius
title_full_unstemmed	Topological algebras with subadditive boundedness radius
title_sort	topological algebras with subadditive boundedness radius
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2020
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462020000300289
work_keys_str_mv	AT sabetm topologicalalgebraswithsubadditiveboundednessradius AT sanatirg topologicalalgebraswithsubadditiveboundednessradius
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Topological algebras with subadditive boundedness radius

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