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

• Hadder, Youness ^[1] ; El Amrani, Abdelkhalek ^[1]
  1. [1] Sidi Mohamed Ben Abdellah University

     Sidi Mohamed Ben Abdellah University

     Fes-Medina, Marruecos

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 3, 2021 (Ejemplar dedicado a: In progress (June 2021). This issue is in progress. Contains articles that are final and fully citable.), págs. 697-709
• Idioma: inglés
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• Resumen

  • 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.