Sharp Quasi-Reverse Minkowski Inequality for Schatten Norms

Hongsen Qiu

Let $\Vert \cdot {\Vert }_p$ denote the Schatten $p$-norm and let $|A|=(A^{\ast }A{)}^{1/2}$. For $2\le p<\infty$, let $x_{p,m}>1$ be the unique solution of $x_{p,m}^p=2x_{p,m}+m-1$, and set \[ C_{p…