Characterizing linear mappings through zero products or zero Jordan products

Guangyu An, Jun He, Jiankui Li

Let $\mathcal{A}$ be a $\ast$-algebra and $\mathcal{M}$ be a $\ast$-$\mathcal{A}$-bimodule, we study the local properties of $\ast$-derivations and $\ast$-Jordan derivations from $\mathcal{A}$…