In-sphere property and reverse inequalities for matrix means
Keyword(s):
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.
2002 ◽
Vol 341
(1-3)
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pp. 151-169
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2005 ◽
Vol 16
(02)
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pp. 181-196
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2014 ◽
Vol 8
(2)
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pp. 118-123
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2014 ◽
Vol 63
(8)
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pp. 1577-1589
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2015 ◽
Vol 487
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pp. 260-267
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1988 ◽
Vol 46
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pp. 738-739
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2006 ◽
Vol 17
(9)
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pp. 4051-4062
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