Additivity of maps preserving products $AP\pm P{A}^{\ast }$ on $C^{\ast }$-algebras

Ali Taghavi, Vahid Darvish, Hamid Rohi

Let $\mathcal{A}$ and $\mathcal{B}$ be two prime $C^{\ast }$-algebras. In this paper, we investigate the additivity of map $\Phi$ from $\mathcal{A}$ onto $\mathcal{B}$ that are bijective…