바로가기메뉴

본문 바로가기 주메뉴 바로가기

logo

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

STABILITY OF C¤-TERNARY QUADRATIC 3-JORDAN HOMOMORPHISMS

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2017, v.24 no.3, pp.171-178
https://doi.org/10.7468/jksmeb.2017.24.3.171
Park, Choonkil
Yun, Sungsik

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: Theoretical Mathematics and Pedagogical Mathematics