Journal of Lie Theory 19 (2009), No. 2, 223--230
Copyright Heldermann Verlag 2009
Local Spectral Radius Formulas on Compact Lie Groups
Nils Byrial Andersen
Alssundgymnasiet Sönderborg, Grundtvigs Allé 86, 6400 Sönderborg, Denmark
nb@ags.dk
Marcel de Jeu
Mathematical Institute, Leiden University, P.O. Box 9512, 2300 RA Leiden, The Netherlands
mdejeu@math.leidenuniv.nl
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 Lp(G). Based on this result we establish a corresponding local spectral radius formula.
Keywords: Compact Lie group, universal enveloping algebra, local spectrum, local spectral radius, local spectral radius formula.
MSC: 22E30; 47A11
[ Fulltext-pdf (166 KB)] for subscribers only.