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Norm inequalities for positive semidefinite matrices
Authors:Limin Zou  Yanqiu Wu
Affiliation:1. School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing, 404100, China
2. College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, China
Abstract:This paper aims to discuss some inequalities involving unitarily invariant norms and positive semidefinite matrices. By using properties of unitarily invariant norms, we obtain two inequities involving unitarily invariant norms and positive semidefinite matrices, which generalize the result obtained by Bhatia and Kittaneh.
Keywords:unitarily invariant norms  positive semidefinite matrices  singular values
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