충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제20권2호
  • /
  • Pages.173-182
  • /
  • 2007
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지

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)
  • 투고 : 2007.05.23
  • 발행 : 2007.06.30
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초록

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".

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