Journal
ELECTRONIC JOURNAL OF LINEAR ALGEBRA
Volume 35, Issue -, Pages 35-41Publisher
INT LINEAR ALGEBRA SOC
DOI: 10.13001/1081-3810.3728
Keywords
In-sphere property of matrix means; Matrix Heinz mean; Matrix power mean; Unitarily invariant norms
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Funding
- Vietnam National Foundation for Science and Technology Development (NAFOSTED) [101.02-2017.310]
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The in-sphere property for matrix means is studied. It is proved that the matrix power mean satisfies in-sphere property with respect to the Hilbert-Schmidt norm. A new characterization of the matrix arithmetic mean is provided. Some reverse AGM inequalities involving unitarily invariant norms and operator monotone functions are also obtained.
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