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Cauchy-Rassias stability of derivations on quasi-Banach algebras
- Authors
- An, Jong Su; Boo, Deok-Hoon; Park, Choonkil
- Issue Date
- Jun-2007
- Publisher
- 충청수학회
- Keywords
- Cauchy functional equation; Jensen functional equation; quasi-Banach algebra; $p$-Banach algebra; Cauchy--Rassiasstability; derivation
- Citation
- 충청수학회지, v.20, no.2, pp.173 - 182
- Indexed
- KCI
OTHER
- Journal Title
- 충청수학회지
- Volume
- 20
- Number
- 2
- Start Page
- 173
- End Page
- 182
- ISSN
- 1226-3524
- Abstract
- 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".
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)