Geodesic
On a certain class of subspectra
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 4, pp. 715-721.

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The aim of this paper is to characterize a class of subspectra for which the geometric spectral radius is the same and depends only upon a commuting $n$-tuple of elements of a complex Banach algebra. We prove also that all these subspectra have the same capacity.
Classification : 46H05, 46H30, 47A13
Keywords: Banach algebra; joint spectrum; subspectrum; spectroid; geometrical spectral radius; (joint) capacity 
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Sołtysiak, Andrzej. On a certain class of subspectra. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 4, pp. 715-721. http://geodesic.mathdoc.fr/item/CMUC_1991__32_4_a13/