Geodesic
Generalization of some Inequalities for Matrix Exponentials to Lie Groups
Xuhua Liu1
1Dept. of Mathematics, University of Tennessee, Chattanooga, TN 37403, U.S.A.
Journal of Lie Theory, Tome 27 (2017) no. 1, pp. 185-192

Voir la notice de l'article provenant de la source Heldermann Verlag

Kostant's pre-order on noncompact connected semisimple Lie groups is a generalization of log-majorization for matrices. We generalize some inequalities for matrix exponentials to Lie groups in terms of Kostant's pre-order.
Classification : 15A45, 22E46
Mots-clés : Golden-Thompson inequality, Araki-Lieb-Thirring inequality, Bernstein inequality, normal matrices, log-majorization, Lie groups, Kostant's pre-order

Xuhua Liu  1

1 Dept. of Mathematics, University of Tennessee, Chattanooga, TN 37403, U.S.A. 
Xuhua Liu. Generalization of some Inequalities for Matrix Exponentials to Lie Groups. Journal of Lie Theory, Tome 27 (2017) no. 1, pp. 185-192. http://geodesic.mathdoc.fr/item/JOLT_2017_27_1_a9/
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     author = {Xuhua Liu},
     title = {Generalization of some {Inequalities} for {Matrix} {Exponentials} to {Lie} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {185--192},
     year = {2017},
     volume = {27},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2017_27_1_a9/}
}
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