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CAUCHY-RASSIAS STABILITY OF DERIVATIONS ON QUASI-BANACH ALGEBRAS

  • An, Jong Su;Boo, Deok-Hoon;Park, Choonkil
    • Journal of the Chungcheong Mathematical Society
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    • v.20 no.2
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    • pp.173-182
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    • 2007
  • 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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