Geodesic
On joint spectral radii in locally convex algebras
Andrzej Sołtysiak1
1 Faculty of Mathematics and Computer Science Adam Mickiewicz University Umultowska 87 61-614 Poznań, Poland
Studia Mathematica, Tome 175 (2006) no. 1, pp. 73-82

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We present several notions of joint spectral radius of mutually commuting elements of a locally convex algebra and prove that all of them yield the same value in case the algebra is pseudo-complete. This generalizes a result proved by the author in 1993 for elements of a Banach algebra.
DOI : 10.4064/sm175-1-4
Keywords: present several notions joint spectral radius mutually commuting elements locally convex algebra prove yield value algebra pseudo complete generalizes result proved author elements banach algebra

Andrzej Sołtysiak 1

1 Faculty of Mathematics and Computer Science Adam Mickiewicz University Umultowska 87 61-614 Poznań, Poland 
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Andrzej Sołtysiak. On joint spectral radii in locally convex algebras. Studia Mathematica, Tome 175 (2006) no. 1, pp. 73-82. doi: 10.4064/sm175-1-4

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