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Keywords

In-sphere property of matrix means, matrix Heinz mean, matrix power mean, unitarily invariant norms

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.

abs_vol35-pp35-41.pdf (92 kB)
Abstract

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