Lie Bracket Derivations in Banach Algebras

Siriluk Donganont (), Choonkil Park () and Michael Th. Rassias
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Siriluk Donganont: University of Phayao, School of Science
Choonkil Park: Hanyang University, Department of Mathematics
Michael Th. Rassias: Hellenic Military Academy, Department of Mathematics and Engineering Sciences

Chapter 7 in Convex and Variational Analysis with Applications, 2026, pp 133-143 from Springer

Abstract: Abstract 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.

Keywords: Hyers-Ulam stability; Hom-derivation in Lie Banach algebra; Additive s-functional inequality; Fixed point method; Direct method (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-032-07860-5_7

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DOI: 10.1007/978-3-032-07860-5_7

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