HYERS-ULAM-RASSIAS STABILITY OF QUADRATIC DERIVATIONS ON BANACH ALGEBRAS

Abstract

In the present paper, we investigate the generalized Hyers-Ulam-Rassias stability of quadratic derivations on Banach algebras. The concept of Hyers-Ulam-Rassias stability was derived from Th.M.Rassias's stability Theorem that was published in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc., 72(1978), 297-300.