Journal of Lie Theory

no. 2
Local Spectral Radius Formulas on Compact Lie Groups
Nils Byrial Andersen1; Marcel de Jeu2
1Alssundgymnasiet Sönderborg, Grundtvigs Allé 86, 6400 Sönderborg, Denmark
2Mathematical Institute, Leiden University, P.O. Box 9512, 2300 RA Leiden, The Netherlands
Journal of Lie Theory, Volume 19 (2009) no. 2, pp. 223-230
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.
DOI: 10.5802/jolt.548
Classification: 22E30, 47A11
Keywords: Compact Lie group, universal enveloping algebra, local spectrum, local spectral radius, local spectral radius formula

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, Volume 19 (2009) no. 2, pp. 223-230. doi: 10.5802/jolt.548
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     title = {Local {Spectral} {Radius} {Formulas} on {Compact} {Lie} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {223--230},
     year = {2009},
     volume = {19},
     number = {2},
     doi = {10.5802/jolt.548},
     zbl = {1187.22005},
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}
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