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Volume 44 Number 5 Volume 44 Number 6 Volume 45 Number 1

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Research articles

ScienceAsia 44(2018): 438-443 |doi: 10.2306/scienceasia1513-1874.2018.44.438

Matrix inequalities for unitarily invariant norms

Jianguo Zhao

ABSTRACT:     In this study, we present some matrix inequalities for unitarily invariant norms. Firstly, we present an inequality for unitarily invariant norms. As a consequence of this result, Huang-Peng-Zou?s result follows immediately. Furthermore, we also establish inequalities for weak log-majorizations and unitarily invariant norms related to question of Bourin?s.

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a School of Mathematics and Statistics, Yangtze Normal University, Fulin, Chongqing 408100 China

* Corresponding author, E-mail: jgzhao_dj@163.com

Received 28 Apr 2018, Accepted 6 Sep 2018