Journal of the Chungcheong Mathematical Society (충청수학회지)
- Volume 20 Issue 2
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- Pages.173-182
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- 2007
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- 1226-3524(pISSN)
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- 2383-6245(eISSN)
CAUCHY-RASSIAS STABILITY OF DERIVATIONS ON QUASI-BANACH ALGEBRAS
- An, Jong Su (Department of Mathematics Education Pusan National University) ;
- Boo, Deok-Hoon (Department of Mathematics Chungnam National University) ;
- Park, Choonkil (Department of Mathematics Hanyang University)
- Received : 2007.05.23
- Published : 2007.06.30
Abstract
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 first 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".
Keywords
- Cauchy functional equation;
- Jensen functional equation;
- quasi-Banach algebra;
- p-Banach algebra;
- Cauchy-Rassias stability;
- derivation