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초록
In this paper, we prove the Cauchy{Rassias stabilityof derivations on quasi-Banach algebras associated to the Cauchyfunctional equation and the Jensen functional equation. We usethe Cauchy{Rassias inequality that was rst introduced by Th. M.Rassias in the paper \On the stability of the linear mapping inBanach spaces, Proc. Amer. Math. Soc.72 (1978), 297{300".
키워드
Cauchy functional equation; Jensen functional equation; quasi-Banach algebra; $p$-Banach algebra; Cauchy--Rassiasstability; derivation
- 제목
- Cauchy-Rassias stability of derivations on quasi-Banach algebras
- 저자
- An, Jong Su ; Boo, Deok-Hoon ; Park, Choonkil
- 발행일
- 2007-06
- 저널명
- 충청수학회지
- 권
- 20
- 호
- 2
- 페이지
- 173 ~ 182