Characterizations of (Jordan) derivation on Banach algebra with local actions

Jiankui Li, Shan Li, Kaijia Luo

Let $\mathcal{A}$ be a unital Banach $\ast$-algebra and $\mathcal{M}$ be a unital $\ast$-$\mathcal{A}$-bimodule. If $W$ is a left separating point of $\mathcal{M}$, we show that every $*…