Approximate $C^*$-Ternary Ring Homomorphisms

Details Approximate $C^*$-Ternary Ring Homomorphisms Approximate $C^*$-Ternary Ring Homomorphisms

2005-11-22

arxiv.org/abs/math/0511539v2

Bull. Braz. Math. Soc. 38 (2007), no. 4, 611-622

Mathematics

Functional Analysis

12 pages, to appear in Bull. Brazilian Math. Soc

Scientific paper

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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