2 problems

Let $A_1,\ldots,A_n\in S_p$, where $S_p$ is the Schatten $p$-class. For $1<p<\infty$, let $q$ be the conjugate exponent of $p$, so that $\frac1p+\frac1q=1$. Audenaert–Kittaneh conj…

Let $S_p$ denote the Schatten $p$-class, and let $A,B,C\in S_p$. For $p>0$, write $\\|\cdot\\|_p$ for the Schatten $p$-quasi-norm. Sharp three-operator Clarkson–McCarthy conjecture…