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Displaying similar documents to “Multi-Dimensional Spectral Theory of Bounded Linear Operators in Locally Convex Spaces.”

On joint spectral radii in locally convex algebras

Andrzej Sołtysiak (2006)

Studia Mathematica

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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.