On Araki-Type Trace Inequalities

Po-Chieh Liu, Hao-Chung Cheng

In this paper, we prove a trace inequality $\text{Tr}[f(A)A^s{B}^s]\le \text{Tr}[f(A)(A^{1/2}B{A}^{1/2}{)}^s]$ for any positive and monotone increasing function $f$, $s\in[0,…