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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

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: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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)

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

한국수학교육학회지시리즈B:순수및응용수학