Generalized Log-Majorization and Multivariate Trace Inequalities

@article{Hiai2017GeneralizedLA,
  title={Generalized Log-Majorization and Multivariate Trace Inequalities},
  author={Fumio Hiai and Robert Koenig and Marco Tomamichel},
  journal={Annales Henri Poincar{\'e}},
  year={2017},
  volume={18},
  pages={2499-2521}
}
We show that recent multivariate generalizations of the Araki–Lieb–Thirring inequality and the Golden–Thompson inequality (Sutter et al. in Commun Math Phys, 2016. doi:10.1007/s00220-016-2778-5) for Schatten norms hold more generally for all unitarily invariant norms and certain variations thereof. The main technical contribution is a generalization of the concept of log-majorization which allows us to treat majorization with regard to logarithmic integral averages of vectors of singular values… CONTINUE READING

Citations

Publications citing this paper.