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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm175-1-4,
author = {Andrzej So\l tysiak},
title = {On joint spectral radii in locally convex algebras},
journal = {Studia Mathematica},
volume = {173},
year = {2006},
pages = {73-82},
zbl = {1113.46045},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm175-1-4}
}
Andrzej Sołtysiak. On joint spectral radii in locally convex algebras. Studia Mathematica, Tome 173 (2006) pp. 73-82. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm175-1-4/