Abstract
In this paper we study some questions related to spectral theory in Jordan-Banach algebras. Firstly, we introduce the notion of exponential spectrum and then we extend to Jordan-Banach algebras a theorem due to Robin Harte in the associative case. Secondly, these results are used to get a theorem on spectral perturbation by inessential elements in Jordan-Banach algebras.
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Maouche, A. Extension d'un théorème de Harte et applications aux algèbres de Jordan-Banach. Monatshefte für Mathematik 122, 205–213 (1996). https://doi.org/10.1007/BF01320184
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DOI: https://doi.org/10.1007/BF01320184