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On joint spectral radii in locally convex algebras

Tom 175 / 2006

Andrzej Sołtysiak Studia Mathematica 175 (2006), 73-82 MSC: Primary 46H05, 46J05; Secondary 46H30. DOI: 10.4064/sm175-1-4

Streszczenie

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.

Autorzy

  • Andrzej SołtysiakFaculty of Mathematics and Computer Science
    Adam Mickiewicz University
    Umultowska 87
    61-614 Poznań, Poland
    e-mail

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