Approximate *-derivations and approximate quadratic *-derivations on <it>C</it>*-algebras

Abstract

Abstract In this paper, we prove the stability of *-derivations and of quadratic *-derivations on Banach *-algebras. We moreover prove the superstability of *-derivations and of quadratic *-derivations on C*-algebras. 2000 Mathematics Subject Classification: 39B52; 47B47; 46L05; 39B72.

Keywords

• *-derivation
• quadratic *-derivation
• <it>C</it>*-algebra; stability
• superstability