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In this note, we introduce Lie bracket derivations in complex Banach algebras. Using the direct method and the fixed point method, we prove the Hyers–Ulam stability of Lie bracket derivations in complex Banach algebras.

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Lie Bracket Derivations in Banach Algebras

  • 章节

  • 发表日期：

    2026年

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  • Siriluk Donganont,
  • Choonkil Park,
  • Michael Th. Rassias

摘要

In this note, we introduce Lie bracket derivations in complex Banach algebras. Using the direct method and the fixed point method, we prove the Hyers–Ulam stability of Lie bracket derivations in complex Banach algebras.