Journals / Turkish Journal of Mathematics / 2009 / Cilt: 33 - Sayı: 4
A perturbation of m-order derivations on Banach algebras
- Pages
- 375–382
- DOI
- —
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.
Özet
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.