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Homomorphisms and Derivations in C∗‐Ternary Algebras

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Listed:
  • Abbas Najati
  • Choonkil Park
  • Jung Rye Lee

Abstract

In 2006, C. Park proved the stability of homomorphisms in C∗‐ternary algebras and of derivations on C∗‐ternary algebras for the following generalized Cauchy‐Jensen additive mapping: 22f((∑j=1pxj/2)+∑j=1dyj)=∑j=1pf(xj)+∑j=1df(yj). In this note, we improve and generalize some results concerning this functional equation.

Suggested Citation

  • Abbas Najati & Choonkil Park & Jung Rye Lee, 2009. "Homomorphisms and Derivations in C∗‐Ternary Algebras," Abstract and Applied Analysis, John Wiley & Sons, vol. 2009(1).
    • Handle: RePEc:wly:jnlaaa:v:2009:y:2009:i:1:n:612392
    DOI: 10.1155/2009/612392
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    References listed on IDEAS

    as
    1. Zbigniew Gajda, 1991. "On stability of additive mappings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 14, pages 1-4, January.
    2. Paisan Nakmahachalasint, 2007. "On the Generalized Ulam-Gavruta-Rassias Stability of Mixed-Type Linear and Euler-Lagrange-Rassias Functional Equations," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2007, pages 1-10, May.
    3. Paisan Nakmahachalasint, 2007. "Hyers-Ulam-Rassias and Ulam-Gavruta-Rassias Stabilities of an Additive Functional Equation in Several Variables," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2007, pages 1-6, July.
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