Local spectral radius formulas on compact Lie groups
Representation Theory
2009-06-23 v2 Spectral Theory
Abstract
We determine the local spectrum of a central element of the complexified universal enveloping algebra of a compact connected Lie group at a smooth function as an element of L^p(G). Based on this result we establish a corresponding local spectral radius formula.
Cite
@article{arxiv.0805.3900,
title = {Local spectral radius formulas on compact Lie groups},
author = {Nils Byrial Andersen and Marcel de Jeu},
journal= {arXiv preprint arXiv:0805.3900},
year = {2009}
}
Comments
7 pages, no figures. Reference updated. Final version, to appear in J. Lie Theory.