## Taiwanese Journal of Mathematics

### STABILITY OF HOMOMORPHISMS AND DERIVATIONS IN $C^*$-TERNARY RINGS

#### Abstract

In this paper, we prove the Hyers-Ulam-Rassias stability of homomorphisms in $C^*$-ternary rings and of derivations on $C^*$-ternary rings for the following generalized Cauchy-Jensen additive mapping: \begin{eqnarray*} 2f\left(\displaystyle\frac{\displaystyle\sum_{j=1}^{p}x_{j}+\sum_{j=1}^{q}y_{j}}{2}+\sum_{j=1}^{d}z_{j}\right) =\sum_{j=1}^{p}f(x_{j})+\sum_{j=1}^{q}f(y_{j})+2\sum_{j=1}^{d}f(z_{j}) . \end{eqnarray*} This is applied to investigate isomorphisms in $C^*$-ternary rings.

#### Article information

Source
Taiwanese J. Math., Volume 13, Number 6B (2009), 1985-1999.

Dates
First available in Project Euclid: 18 July 2017

https://projecteuclid.org/euclid.twjm/1500405652

Digital Object Identifier
doi:10.11650/twjm/1500405652

Mathematical Reviews number (MathSciNet)
MR2583532

Zentralblatt MATH identifier
1203.39020

#### Citation

Park, Choonkil; Moradlou, Fridoun. STABILITY OF HOMOMORPHISMS AND DERIVATIONS IN $C^*$-TERNARY RINGS. Taiwanese J. Math. 13 (2009), no. 6B, 1985--1999. doi:10.11650/twjm/1500405652. https://projecteuclid.org/euclid.twjm/1500405652

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