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Approximate $C^*$-Ternary Ring Homomorphisms

Mohammad Sal Moslehian
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Abstract

In this paper, we establish the generalized Hyers--Ulam--Rassias stability of $C^*$-ternary ring homomorphisms associated to the Trif functional equation \begin{eqnarray*} d \cdot C_{d-2}^{l-2} f(\frac{x_1+... +x_d}{d})+ C_{d-2}^{l-1}\sum_{j=1}^d f(x_j) = l \cdot \sum_{1\leq j_1< ... < j_l\leq d} f(\frac{x_{j_1} + ... + x_{j_l}}{l}). \end{eqnarray*}

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Mohammad Sal Moslehian. 2006-11-22. Approximate $C^*$-Ternary Ring Homomorphisms. https://arxiv.org/abs/math/0511539

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