Characterizations of a commutative semisimple modular annihilator Banach algebra through its socle

Abstract: Let A be a commutative complex semisimple Banach algebra. In this paper we continue the study of kh(soc(A)). Thus we will give, among other things, some new characterizations of this ideal in terms of the closure, in the spectral radius norm, of the socle of A.

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Autores principales:	Hadder,Youness, El Amrani,Abdelkhalek
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2021
Materias:	Commutative algebras Socle Inessential element Completely continuous algebra Modular annihilator algebra
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000300697
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spelling	oai:scielo:S0716-091720210003006972021-06-07Characterizations of a commutative semisimple modular annihilator Banach algebra through its socleHadder,YounessEl Amrani,Abdelkhalek Commutative algebras Socle Inessential element Completely continuous algebra Modular annihilator algebra Abstract: Let A be a commutative complex semisimple Banach algebra. In this paper we continue the study of kh(soc(A)). Thus we will give, among other things, some new characterizations of this ideal in terms of the closure, in the spectral radius norm, of the socle of A.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.40 n.3 20212021-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000300697en10.22199/issn.0717-6279-4459
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Commutative algebras Socle Inessential element Completely continuous algebra Modular annihilator algebra
spellingShingle	Commutative algebras Socle Inessential element Completely continuous algebra Modular annihilator algebra Hadder,Youness El Amrani,Abdelkhalek Characterizations of a commutative semisimple modular annihilator Banach algebra through its socle
description	Abstract: Let A be a commutative complex semisimple Banach algebra. In this paper we continue the study of kh(soc(A)). Thus we will give, among other things, some new characterizations of this ideal in terms of the closure, in the spectral radius norm, of the socle of A.
author	Hadder,Youness El Amrani,Abdelkhalek
author_facet	Hadder,Youness El Amrani,Abdelkhalek
author_sort	Hadder,Youness
title	Characterizations of a commutative semisimple modular annihilator Banach algebra through its socle
title_short	Characterizations of a commutative semisimple modular annihilator Banach algebra through its socle
title_full	Characterizations of a commutative semisimple modular annihilator Banach algebra through its socle
title_fullStr	Characterizations of a commutative semisimple modular annihilator Banach algebra through its socle
title_full_unstemmed	Characterizations of a commutative semisimple modular annihilator Banach algebra through its socle
title_sort	characterizations of a commutative semisimple modular annihilator banach algebra through its socle
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2021
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000300697
work_keys_str_mv	AT hadderyouness characterizationsofacommutativesemisimplemodularannihilatorbanachalgebrathroughitssocle AT elamraniabdelkhalek characterizationsofacommutativesemisimplemodularannihilatorbanachalgebrathroughitssocle
_version_	1718439904321470464

Characterizations of a commutative semisimple modular annihilator Banach algebra through its socle

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