On joint spectral radii in locally convex algebras
Tom 175 / 2006
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.
