Extension of Wang-Gong monotonicity result in semisimple Lie groups-Reference-Cited by-同舟云学术

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Extension of Wang-Gong monotonicity result in semisimple Lie groups

Published:2015-01-16 Issue:1 Volume:3 Page:
ISSN:2300-7451
Container-title:Special Matrices
language:
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Author:

Sarver Zachary,Tam Tin-Yau

Abstract

AbstractWe extend a monotonicity result of Wang and Gong on the product of positive definite matrices in the context of semisimple Lie groups. A similar result on singular values is also obtained.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology,Algebra and Number Theory

Link

https://www.degruyter.com/document/doi/10.1515/spma-2015-0024/pdf

Reference12 articles.

1. Trace inequalities for positive definite matrix power products Linear;Bushell;Algebra Appl,1990

2. A Lieb - Thirring inequality for singular values Linear;Audenaert;Algebra Appl,2009

3. On an inequality of Lieb and Thirring;Araki;Lett Math Phys,1990

4. An eigenvalues inequality for the product of normal matrices Monthly;Marcus;Amer Math,1956

5. On convexity the Weyl group and the Iwasawa decomposition;Kostant;Ann Sci École Norm Sup,1973

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Inequalities for Matrix Exponentials and Their Extensions to Lie Groups;Matrix and Operator Equations and Applications;2023

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