STABILITY OF C<sup>*</sup>-TERNARY QUADRATIC 3-JORDAN HOMOMORPHISMS
STABILITY OF C¤-TERNARY QUADRATIC 3-JORDAN HOMOMORPHISMS
한국수학교육학회지시리즈B:순수및응용수학 / 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
(Research Institute for Natural Sciences, Hanyang University)
Yun, Sungsik
(Department of Financial Mathematics, Hanshin University)
Park, Choonkil,
&
Yun, Sungsik.
(2017). STABILITY OF C<sup>*</sup>-TERNARY QUADRATIC 3-JORDAN HOMOMORPHISMS. 한국수학교육학회지시리즈B:순수및응용수학, 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
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Hyers-Ulam stability,
<tex> $C^*-ternary$</tex> algebra,
quadratic functional equation,
<tex> $C^*-ternary$</tex> quadratic 3-Jordan homomorphism