Hyperstability of Jordan triple derivations on Banach algebras

摘要

In this article, it is proved that a functional equation of (linear) Jordantriple derivations on unital Banach algebras under quite natural and simpleassumptions is hyperstable. It is also shown that under some mild conditionsapproximate Jordan triple derivations on unital semiprime Banach algebras are(linear) derivations.