Inequalities for unitarily invariant norms

ZOU Li-min; FENG Yu-ming

Issue 5

Nov. 2011

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ZOU Li-min, FENG Yu-ming. Inequalities for unitarily invariant norms[J]. Journal of East China Normal University (Natural Sciences), 2011, (5): 1-4.

Citation:

ZOU Li-min, FENG Yu-ming. Inequalities for unitarily invariant norms[J]. Journal of East China Normal University (Natural Sciences), 2011, (5): 1-4.

ZOU Li-min, FENG Yu-ming. Inequalities for unitarily invariant norms[J]. Journal of East China Normal University (Natural Sciences), 2011, (5): 1-4.

Citation:

ZOU Li-min, FENG Yu-ming. Inequalities for unitarily invariant norms[J]. Journal of East China Normal University (Natural Sciences), 2011, (5): 1-4.

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Inequalities for unitarily invariant norms

1.
College of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing 404100, China

Received Date: 2010-12-01
Rev Recd Date: 2011-03-01
Publish Date: 2011-09-25

Abstract

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.
- unitarily invariant norms,
- positive semidefinite matrices,
- continuous convex function,
- inequality

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References(1)

References

[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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