Annals of Functional Analysis
- Ann. Funct. Anal.
- Volume 10, Number 4 (2019), 509-514.
A note on the paper “Matrix inequalities for the difference between arithmetic mean and harmonic mean”
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.
Ann. Funct. Anal., Volume 10, Number 4 (2019), 509-514.
Received: 9 October 2018
Accepted: 31 January 2019
First available in Project Euclid: 23 October 2019
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 15A45: Miscellaneous inequalities involving matrices
Secondary: 15A60: Norms of matrices, numerical range, applications of functional analysis to matrix theory [See also 65F35, 65J05] 26E60: Means [See also 47A64]
Yang, Changsen; Ren, Yonghui; Zhang, Haixia. A note on the paper “Matrix inequalities for the difference between arithmetic mean and harmonic mean”. Ann. Funct. Anal. 10 (2019), no. 4, 509--514. doi:10.1215/20088752-2019-0009. https://projecteuclid.org/euclid.afa/1571796076