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Title: A symmetrical property of the spectral trace in Banach algebras
Authors: Maouche, Abdelaziz
Keywords: Álgebra de Banach;Rango;Aditividad espectral;Rastro;Función subarmónica;Banach algebra;Rank;Spectral additivity;Trace;Subharmonic function
Issue Date: 2017
Publisher: Universidad de Extremadura
Abstract: 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 defined on the socle of a Banach algebra by B. Aupetit and H. du T. Mouton.
Appears in Collections:Extracta Mathematicae Vol. 32, nº 2 (2017)

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