A perturbation of m-order derivations on Banach algebras

Authors: YONG-SOO JUNG, KYOO-HONG PARK

Abstract: Let \A be a unital Banach algebra and let m, 1 \leq m \leq 4, be an integer. If f: \A \to \A is an approximate m-order derivation in the sense of Hyers-Ulam-Rassias, then f: \A \to \A is an exact m-order derivation.

Keywords: m-order derivation, approximate m-order derivation, stability.

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