Research article

Generalized ($\alpha,\beta, \gamma$)-derivations on Lie $C^*$-algebras

  • Received: 06 March 2020 Accepted: 30 August 2020 Published: 08 September 2020
  • MSC : 17B05, 17B40, 39B62, 39B52, 47H10, 46B25

  • The Hyers-Ulam stability of ($\alpha, \beta, \gamma$)-derivations on Lie $C^*$-algebras is discussed by following functional inequality $ \begin{eqnarray*} f(ax+by)+f(ax-by) = 2f(ax)+bf(y)+bf(-y), \end{eqnarray*} $ where $a, b$ are nonzero fixed complex numbers.

    Citation: Gang Lu, Yuanfeng Jin, Choonkil Park. Generalized ($\alpha,\beta, \gamma$)-derivations on Lie $C^*$-algebras[J]. AIMS Mathematics, 2020, 5(6): 6949-6958. doi: 10.3934/math.2020445

    Related Papers:

  • The Hyers-Ulam stability of ($\alpha, \beta, \gamma$)-derivations on Lie $C^*$-algebras is discussed by following functional inequality $ \begin{eqnarray*} f(ax+by)+f(ax-by) = 2f(ax)+bf(y)+bf(-y), \end{eqnarray*} $ where $a, b$ are nonzero fixed complex numbers.


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