학술저널
CAUCHY{RASSIAS STABILITY OF DERIVATIONS ON QUASI-BANACH ALGEBRAS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 20, No. 2
-
2007.06173 - 182 (10 pages)
- 2
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
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