Von Neumann Type of Trace Inequalities for Schatten-Class Operators

Abstract

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.

16 pages

References in corpus (1)

• The C-Numerical Range for Schatten-Class Operators

Cited by in corpus (1)

• Reachability in Controlled Markovian Quantum Systems: An Operator-Theoretic Approach