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.
Classification :
22E30, 47A11
Mots-clés :
Compact Lie group, universal enveloping algebra, local spectrum, local spectral radius, local spectral radius formula
Affiliations des auteurs :
Nils Byrial Andersen
1
;
Marcel de Jeu
2
1
Alssundgymnasiet Sönderborg, Grundtvigs Allé 86, 6400 Sönderborg, Denmark
2
Mathematical Institute, Leiden University, P.O. Box 9512, 2300 RA Leiden, The Netherlands
Nils Byrial Andersen; Marcel de Jeu. Local Spectral Radius Formulas on Compact Lie Groups. Journal of Lie Theory, Tome 19 (2009) no. 2, pp. 223-230. http://geodesic.mathdoc.fr/item/JOLT_2009_19_2_a1/
@article{JOLT_2009_19_2_a1,
author = {Nils Byrial Andersen and Marcel de Jeu},
title = {Local {Spectral} {Radius} {Formulas} on {Compact} {Lie} {Groups}},
journal = {Journal of Lie Theory},
pages = {223--230},
year = {2009},
volume = {19},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JOLT_2009_19_2_a1/}
}
TY - JOUR
AU - Nils Byrial Andersen
AU - Marcel de Jeu
TI - Local Spectral Radius Formulas on Compact Lie Groups
JO - Journal of Lie Theory
PY - 2009
SP - 223
EP - 230
VL - 19
IS - 2
UR - http://geodesic.mathdoc.fr/item/JOLT_2009_19_2_a1/
ID - JOLT_2009_19_2_a1
ER -
%0 Journal Article
%A Nils Byrial Andersen
%A Marcel de Jeu
%T Local Spectral Radius Formulas on Compact Lie Groups
%J Journal of Lie Theory
%D 2009
%P 223-230
%V 19
%N 2
%U http://geodesic.mathdoc.fr/item/JOLT_2009_19_2_a1/
%F JOLT_2009_19_2_a1
