Von Neumann Type of Trace Inequalities for Schatten-Class Operators
We generalize von Neumann's well-known trace inequality, as well as related eigenvalue inequalities for hermitian matrices, to Schatten-class operators between complex Hilbert spaces of infinite dimension. To this end, we exploit some recent results on the $C$-numerical range of Schatten-class operators. For the readers' convenience, we sketched the proof of these results in the Appendix.
- Pub Date:
- June 2019
- Mathematics - Functional Analysis;
- 16 pages