Maps preserving peripheral spectrum of generalized Jordan products of operators

Wen Zhang, Jinchuan Hou, Xiaofei Qi

Let $X_1$ and $X_2$ be complex Banach spaces with dimension at least three, ${\mathcal{A}}_1$ and ${\mathcal{A}}_2$ be standard operator algebras on $X_1$ and $X_2$, respectively. For…