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Journal of Lie Theory 27 (2017), No. 1, 185--192
Copyright Heldermann Verlag 2017

Generalization of some Inequalities for Matrix Exponentials to Lie Groups

Xuhua Liu
Dept. of Mathematics, University of Tennessee, Chattanooga, TN 37403, U.S.A.

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.

Keywords: Golden-Thompson inequality, Araki-Lieb-Thirring inequality, Bernstein inequality, normal matrices, log-majorization, Lie groups, Kostant's pre-order.

MSC: 15A45, 22E46

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