A Symmetrical Property of the Spectral Trace in Banach Algebras

Autores: Abdelaziz Maouche
Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 32, Nº 2, 2017, págs. 163-172
Idioma: inglés
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Resumen
- Our aim in this paper is to extend a symmetrical property of the trace by M.
  
  Kennedy and H. Radjavi for bounded operators on a Banach space to the more general situation of Banach algebras. The main ingredients are Vesentini's result on subharmonicity of the spectral radius and the new spectral rank and trace de ned on the socle of a Banach algebra by B. Aupetit and H. du T. Mouton.