In-Sphere Property and Reverse Inequalities for Matrix Means
In-Sphere Property and Reverse Inequalities for Matrix Means
Source title:
Electronic Journal of Linear Algebra, 35: 35-41,
2019
(ISI)
Academic year of acceptance:
2019-2020
Abstract:
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.