Geodesic
Generalization of some Inequalities for Matrix Exponentials to Lie Groups
Journal of Lie theory, Tome 27 (2017) no. 1, pp. 185-192
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

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 
@article{JLT_2017_27_1_JLT_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},
     url = {http://geodesic.mathdoc.fr/item/JLT_2017_27_1_JLT_2017_27_1_a9/}
}
TY  - JOUR
AU  - X. Liu
TI  - Generalization of some Inequalities for Matrix Exponentials to Lie Groups
JO  - Journal of Lie theory
PY  - 2017
SP  - 185
EP  - 192
VL  - 27
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/JLT_2017_27_1_JLT_2017_27_1_a9/
ID  - JLT_2017_27_1_JLT_2017_27_1_a9
ER  - 
%0 Journal Article
%A X. Liu
%T Generalization of some Inequalities for Matrix Exponentials to Lie Groups
%J Journal of Lie theory
%D 2017
%P 185-192
%V 27
%N 1
%U http://geodesic.mathdoc.fr/item/JLT_2017_27_1_JLT_2017_27_1_a9/
%F JLT_2017_27_1_JLT_2017_27_1_a9
X. 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/JLT_2017_27_1_JLT_2017_27_1_a9/