November 2019 A note on the paper “Matrix inequalities for the difference between arithmetic mean and harmonic mean”
Changsen Yang, Yonghui Ren, Haixia Zhang
Ann. Funct. Anal. 10(4): 509-514 (November 2019). DOI: 10.1215/20088752-2019-0009

Abstract

In this short article, we mainly give some examples to prove that the main results of Section 4 of the paper [W. S. Liao and J. Wu, Ann. Func. Anal. 6 (2015), no. 3, 191–202] are not true. Then we give the corrected matrix inequalities.

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Changsen Yang. Yonghui Ren. Haixia Zhang. "A note on the paper “Matrix inequalities for the difference between arithmetic mean and harmonic mean”." Ann. Funct. Anal. 10 (4) 509 - 514, November 2019. https://doi.org/10.1215/20088752-2019-0009

Information

Received: 9 October 2018; Accepted: 31 January 2019; Published: November 2019
First available in Project Euclid: 23 October 2019

zbMATH: 07126068
MathSciNet: MR4026364
Digital Object Identifier: 10.1215/20088752-2019-0009

Subjects:
Primary: 15A45
Secondary: 15A60 , 26E60

Keywords: arithmetic mean , harmonic mean , Hilbert–Schmidt norm , matrix inequality

Rights: Copyright © 2019 Tusi Mathematical Research Group

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Vol.10 • No. 4 • November 2019
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