A perturbation of m-order derivations on Banach algebras

Authors

YONG-SOO JUNG
KYOO-HONG PARK

DOI

10.3906/mat-0809-36

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.

First Page

375

Last Page

382

Recommended Citation

JUNG, YONG-SOO and PARK, KYOO-HONG (2009) "A perturbation of m-order derivations on Banach algebras," Turkish Journal of Mathematics: Vol. 33: No. 4, Article 7. https://doi.org/10.3906/mat-0809-36
Available at: https://journals.tubitak.gov.tr/math/vol33/iss4/7