Local Spectral Radius Formulas on Compact Lie Groups
Journal of Lie theory, Tome 19 (2009) no. 2, pp. 223-23
Voir la notice de l'article provenant de la source Heldermann Verlag
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
Mots-clés : Compact Lie group, universal enveloping algebra, local spectrum, local spectral radius, local spectral radius formula
@article{JLT_2009_19_2_JLT_2009_19_2_a1,
author = {N. B. Andersen and M. de Jeu },
title = {Local {Spectral} {Radius} {Formulas} on {Compact} {Lie} {Groups}},
journal = {Journal of Lie theory},
pages = {223--23},
publisher = {mathdoc},
volume = {19},
number = {2},
year = {2009},
url = {http://geodesic.mathdoc.fr/item/JLT_2009_19_2_JLT_2009_19_2_a1/}
}
N. B. Andersen; M. de Jeu . Local Spectral Radius Formulas on Compact Lie Groups. Journal of Lie theory, Tome 19 (2009) no. 2, pp. 223-23. http://geodesic.mathdoc.fr/item/JLT_2009_19_2_JLT_2009_19_2_a1/