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Norm inequalities for positive semidefinite matrices

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Wuhan University Journal of Natural Sciences

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.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing, 404100, China

    Limin Zou & Yanqiu Wu

  2. College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, China

    Limin Zou

Authors
  1. Limin Zou
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  2. Yanqiu Wu
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Correspondence to Limin Zou.

Additional information

Foundation item: Supported by the Scientific Research Project of Chongqing Three Gorges University (11QN-21)

Biography: ZOU Limin, male, Lecturer, Ph. D candidate, research direction: matrix inequalities.

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Zou, L., Wu, Y. Norm inequalities for positive semidefinite matrices. Wuhan Univ. J. Nat. Sci. 17, 454–456 (2012). https://doi.org/10.1007/s11859-012-0869-5

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  • DOI: https://doi.org/10.1007/s11859-012-0869-5

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