In-Sphere Property and Reverse Inequalities for Matrix Means

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Authors

Dinh, Trung-Hoa
Tam, Tin-Yau
Vo, Bich-Khue T.

Issue Date

2019

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Article

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Keywords

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

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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.

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Citation

Dinh, T. H., Tam, T.-Y., & Vo, B. K. T. (2019). In-sphere property and reverse inequalities for matrix means. Electronic Journal of Linear Algebra, 35(1), 35�"41. doi:10.13001/1081-3810.3728

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Open Access

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URI

http://hdl.handle.net/11714/6262

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DOI

10.13001/1081-3810.3728

ISSN

1537-9582

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