In-Sphere Property and Reverse Inequalities for Matrix Means
Loading...
Authors
Dinh, Trung-Hoa
Tam, Tin-Yau
Vo, Bich-Khue T.
Issue Date
2019
Type
Article
Language
Keywords
In-sphere property of matrix means , Matrix Heinz mean , Matrix power mean , Unitarily invariant norms
Alternative Title
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.
Description
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
Publisher
License
Open Access
Journal
Volume
Issue
PubMed ID
ISSN
1537-9582