Superstability of derivations on Banach ∗-algebras

Abstract

Abstract In this paper, we show that approximate derivations on Banach ∗-algebras are exactly derivations and also show that approximate quadratic ∗-derivations on Banach ∗-algebras are exactly quadratic ∗-derivations by the fixed point theorem.

Keywords

• derivation
• quadratic derivation
• superstability
• fixed point theorem