Journal of Lie Theory

no. 1
Generalization of some Inequalities for Matrix Exponentials to Lie Groups
Journal of Lie Theory, Volume 27 (2017) no. 1, pp. 185-192
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.
DOI: 10.5802/jolt.940
Classification: 15A45, 22E46
Keywords: Golden-Thompson inequality, Araki-Lieb-Thirring inequality, Bernstein inequality, normal matrices, log-majorization, Lie groups, Kostant's pre-order 
@article{JOLT_2017_27_1_a9,
     author = {X. 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},
     doi = {10.5802/jolt.940},
     zbl = {1390.15067},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.940/}
}
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X. Liu. Generalization of some Inequalities for Matrix Exponentials to Lie Groups. Journal of Lie Theory, Volume 27 (2017) no. 1, pp. 185-192. doi: 10.5802/jolt.940

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