Subadditivity of eigenvalue sums

Author:
Mitsuru Uchiyama

Journal:
Proc. Amer. Math. Soc. **134** (2006), 1405-1412

MSC (2000):
Primary 47A30, 15A42; Secondary 47A75

Published electronically:
October 7, 2005

MathSciNet review:
2199187

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Abstract | References | Similar Articles | Additional Information

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.

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Additional Information

**Mitsuru Uchiyama**

Affiliation:
Department of Mathematics, Fukuoka University of Education, Munakata, Fukuoka, 811-4192, Japan

Email:
uchiyama@fukuoka-edu.ac.jp

DOI:
https://doi.org/10.1090/S0002-9939-05-08116-5

Keywords:
Trace,
unitarily invariant norm,
operator convex function.

Received by editor(s):
October 23, 2004

Received by editor(s) in revised form:
December 11, 2004

Published electronically:
October 7, 2005

Communicated by:
Joseph A. Ball

Article copyright:
© Copyright 2005
American Mathematical Society