Perturbations of higher ternary derivations in Banach ternary algebras
Commun. Korean Math. Soc. 2008 Vol. 23, No. 3, 387-399
Printed September 1, 2008
Kyoo-Hong Park and Yong-Soo Jung
Seowon University, Sun Moon University
Abstract : We investigate approximately higher ternary derivations in Banach ternary algebras via the Cauchy functional equation \begin{equation*} f(\l_1 x+\l_2 y+\l_3 z)=\l_1 f(x)+\l_2 f(y)+\l_3 f(z). \end{equation*}
Keywords : higher ternary derivation, approximately higher ternary derivation, stability
MSC numbers : 39B52, 46H99, 39B72, 39B82
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