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.

DOI

10.3906/mat-0809-36

Keywords

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

First Page

375

Last Page

382

Recommended Citation

JUNG, Y, & PARK, K (2009). A perturbation of m-order derivations on Banach algebras. Turkish Journal of Mathematics 33 (4): 375-382. https://doi.org/10.3906/mat-0809-36

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