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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

Lie bracket Jordan derivations in Banach Jordan algebras

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2021, v.28 no.2, pp.91-102
https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.2.91
Paokanta, Siriluk
Lee, Jung Rye

Abstract

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

keywords
Hyers-Ulam stability, fixed point method, p-functional inequality, Lie bracket Jordan derivation in Banach Jordan algebra, direct method

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics