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