On joint spectral radii in locally convex algebras

• Autorzy: Andrzej Sołtysiak
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46H30: Functional calculus in topological algebras
• 46H05: General theory of topological algebras
• 46J05: General theory of commutative topological algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 175
• Numer: 1
• Strony: 73-82

Daty

wydano

2006

Twórcy

autor

Andrzej Sołtysiak

• Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland

Identyfikatory

DOI

10.4064/sm175-1-4