Extensions of three matrix inequalities to semisimple Lie groups

DOI10.2478/spma-2014-0015zbMath1308.15019OpenAlexW2050378874WikidataQ115227827 ScholiaQ115227827MaRDI QIDQ2259440

Xuhua Liu, Tin-Yau Tam

Publication date: 4 March 2015

Published in: Special Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/spma-2014-0015

zbMATH Keywords

positive definite matricessemisimple Lie groupslog majorizationAraki-Lieb-Thirring inequalityKostant's pre-order

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45) Semisimple Lie groups and their representations (22E46)

Related Items

Extension of Wang-Gong monotonicity result in semisimple Lie groups

Cites Work

• An extension of Yamamoto's theorem on the eigenvalues and singular values of a matrix
• On an inequality of Lieb and Thirring
• A. Horn's result on matrices with prescribed singular values and eigenvalues
• On convexity, the Weyl group and the Iwasawa decomposition
• Kostant's convexity theorem and the compact classical groups
• Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix
• Inequalities: theory of majorization and its applications
• Matrix inequalities
• Lie groups beyond an introduction
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