Von Neumann type trace inequalities for Schatten-class operators
@article{Dirr2019VonNT,
title={Von Neumann type trace inequalities for Schatten-class operators},
author={Gunther Dirr and Frederik vom Ende},
journal={Journal of Operator Theory},
year={2019}
}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.
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