LIE BRACKET JORDAN DERIVATIONS IN BANACH JORDAN ALGEBRAS
Lie bracket Jordan derivations in Banach Jordan algebras
한국수학교육학회지시리즈B:순수및응용수학 / 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
(Department of Mathematics, Research Institute for Natural Sciences, Hanyang University)
Lee, Jung Rye
(Department of Mathematics, Daejin University)
Paokanta, Siriluk,
&
Lee, Jung Rye.
(2021). LIE BRACKET JORDAN DERIVATIONS IN BANACH JORDAN ALGEBRAS. 한국수학교육학회지시리즈B:순수및응용수학, 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