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ISSN : 1226-0657

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Vol.24 No.3

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STABILITY OF C¤-TERNARY QUADRATIC 3-JORDAN HOMOMORPHISMS

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
2017, v.24 no.3, pp.171-178
https://doi.org/10.7468/jksmeb.2017.24.3.171
Park, Choonkil
Yun, Sungsik
Park,, C. , & Yun,, S. (2017). STABILITY OF C¤-TERNARY QUADRATIC 3-JORDAN HOMOMORPHISMS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 24(3), 171-178, https://doi.org/10.7468/jksmeb.2017.24.3.171

Abstract

In this paper, we define <TEX>$C^*-ternary$</TEX> quadratic 3-Jordan homomorphisms associated with the quadratic mapping f(x + y) + f(x - y) = 2f(x) + 2f(y), and prove the Hyers-Ulam stability of <TEX>$C^*-ternary$</TEX> quadratic 3-Jordan homomorphisms.

keywords
Hyers-Ulam stability, <tex> $C^*-ternary$</tex> algebra, quadratic functional equation, <tex> $C^*-ternary$</tex> quadratic 3-Jordan homomorphism

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

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