Schatten p-norm inequalities related to an extended operator parallelogram law

Mohammad Sal Moslehian, Masaru Tominaga, Kichi-Suke Saito

Let ${\mathcal{C}}_p$ be the Schatten $p$-class for $p>0$. Generalizations of the parallelogram law for the Schatten 2-norms have been given in the following form: If $\mathbf{A}=\{A…