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Generalized Log-Majorization and Multivariate Trace Inequalities
Fumio Hiai, Robert Koenig, Marco Tomamichel
We show that recent multivariate generalizations of the Araki-Lieb-Thirring inequality and the Golden-Thompson inequality [Sutter, Berta, and Tomamichel, Comm. Math. Phys. (2016)]…
Rényi divergences as weighted non-commutative vector valued -spaces
Mario Berta, Volkher B. Scholz, Marco Tomamichel
We show that Araki and Masuda's weighted non-commutative vector valued -spaces [Araki \& Masuda, Publ. Res. Inst. Math. Sci., 18:339 (1982)] correspond to an algebraic general…
Multivariate Trace Inequalities
David Sutter, Mario Berta, Marco Tomamichel
We prove several trace inequalities that extend the Golden-Thompson and the Araki-Lieb-Thirring inequality to arbitrarily many matrices. In particular, we strengthen Lieb's triple…