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Journal of Lie Theory 18 (2008), No. 4, 919--931
Copyright Heldermann Verlag 2008

Heinz-Kato's Inequalities for Lie Groups

Tin-Yau Tam
Department of Mathematics and Statistics, Auburn University, Auburn, AL 36849-5310, U.S.A.

Extensions of Heinz-Kato's inequalities and related inequalities are obtained for semisimple connected noncompact Lie groups.

Keywords: Heinz-Kato's inequalities, McIntosh's inequality, Cartan decomposition, Kostant's pre-order.

MSC: 22E46; 15A45

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