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ISSN : 1226-0657

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Vol.28 No.2

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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
Paokanta,, S. , & Lee,, J. R. (2021). Lie bracket Jordan derivations in Banach Jordan algebras. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 28(2), 91-102, https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.2.91

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

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