Characterizations of 2-local derivations and local Lie derivations on some algebras

Jun He, Jiankui Li, Guangyu An +1

We prove that every 2-local derivation from the algebra $M_n(\mathcal{A})(n>2)$ into its bimodule $M_n(\mathcal{M})$ is a derivation, where $\mathcal{A}$ is a unital Banach algebra…