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Subadditivity of eigenvalue sums |
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| Authors: | Mitsuru Uchiyama |
| Institution: | Department of Mathematics, Fukuoka University of Education, Munakata, Fukuoka, 811-4192, Japan |
| Abstract: | Let  be a nonnegative concave function on  with  , and let  be  matrices. Then it is known that  , where  is the trace norm. We extend this result to all unitarily invariant norms and prove some inequalities of eigenvalue sums. |
| Keywords: | Trace unitarily invariant norm operator convex function |
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