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Special Matrices

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Extensions of Three Matrix Inequalities to Semisimple Lie Groups

Xuhua Liu
  • Department of Mathematics, The University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Tin-Yau Tam
Published Online: 2014-11-07 | DOI: https://doi.org/10.2478/spma-2014-0015


We give extensions of inequalities of Araki-Lieb-Thirring, Audenaert, and Simon, in the context of semisimple Lie groups.

Keywords: Araki-Lieb-Thirring inequality; positive definite matrices; semisimple Lie groups; log majorization; Kostant’s pre-order

MSC: 15A45; 15B48; 22E46


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About the article

Received: 2014-07-04

Accepted: 2014-09-14

Published Online: 2014-11-07

Citation Information: Special Matrices, Volume 2, Issue 1, ISSN (Online) 2300-7451, DOI: https://doi.org/10.2478/spma-2014-0015.

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© 2014 Xuhua Liu and Tin-Yau Tam. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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