Geodesic
Spectral properties of elements in different Banach algebras
Glasgow mathematical journal, Tome 33 (1991) no. 1, pp. 11-20

Voir la notice de l'article provenant de la source Cambridge University Press

Let A be a Banach algebra with unit 1 and let B be a Banach algebra which is a subalgebra of A and which contains 1. In [5]Barnes gave sufficient conditions for B to be inverse closed in A. In this paper we consider single elements and study the question of how the spectrum relative to B of an element in B relates to the spectrum of the element relative to A. 
Grobler, J. J.; Raubenheimer, H. Spectral properties of elements in different Banach algebras. Glasgow mathematical journal, Tome 33 (1991) no. 1, pp. 11-20. doi: 10.1017/S0017089500007989
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