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Almost Generalized Derivation on Banach Algebras

Author

Listed:
  • Jae-Hyeong Bae

    (Humanitas College, Kyung Hee University, Yongin 17104, Republic of Korea)

  • Ick-Soon Chang

    (Department of Mathematics, Chungnam National University, 99 Daehangno, Yuseong-gu, Daejeon 34134, Republic of Korea)

  • Hark-Mahn Kim

    (Department of Mathematics, Chungnam National University, 99 Daehangno, Yuseong-gu, Daejeon 34134, Republic of Korea)

Abstract

We take into consideration generalized derivations. First, we study the stability of generalized derivations on Banach algebras under consideration. Then we prove some theorems involving approximate generalized derivations on Banach algebras. These results can be applied to C * -algebras.

Suggested Citation

  • Jae-Hyeong Bae & Ick-Soon Chang & Hark-Mahn Kim, 2022. "Almost Generalized Derivation on Banach Algebras," Mathematics, MDPI, vol. 10(24), pages 1-8, December.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:24:p:4754-:d:1003332
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    References listed on IDEAS

    as
    1. Mohamad Nagy Daif, 1991. "When in a multiplicative derivation additive?," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 14, pages 1-4, January.
    2. Soon-Mo Jung & Dorian Popa & Michael Rassias, 2014. "On the stability of the linear functional equation in a single variable on complete metric groups," Journal of Global Optimization, Springer, vol. 59(1), pages 165-171, May.
    3. Zbigniew Gajda, 1991. "On stability of additive mappings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 14, pages 1-4, January.
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