KCI등재
학술저널
CAUCHY{RASSIAS STABILITY OF DERIVATIONS ON QUASI-BANACH ALGEBRAS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 20, No. 2
- 등재여부 : KCI등재
- 2007.06
- 173 - 182 (10 pages)
In this paper, we prove the Cauchy{Rassias stability of derivations on quasi-Banach algebras associated to the Cauchy functional equation and the Jensen functional equation. We use the Cauchy{Rassias inequality that was ¯rst introduced by Th. M. Rassias in the paper \On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297{300 .
1. Introduction and preliminaries
2. Stability of derivations associated to the Cauchy func-tional equation
3. Stability of derivations associated to the Jensen func-tional equation
References