Inequalities for unitarily invariant norms
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Abstract: First, some inequalities for unitarily invariant norms were given and proved. Then these inequalities with previous results were compared. The result showed that the new inequalities are the refinement of old ones.
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[1] {1} ZHAN X. Matrix Theory [M]. Beijing: Higher Education Press, 2008. (in Chinese).{2} BHATIA R. DAVIS C. More matrix forms of the arithmetic-geometric mean inequality [J]. SIAM J Matrix Anal Appl, 1993, 14: 132-136.{3} KITTANEH F. On the convexity of the Heinz means [J]. Integr Equ Oper Theory, 2010, 68: 519-527.{4} BHATIA R. Matrix Analysis [M]. [s.l.]: Springer-Verlag, 1997.
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