TERNARY JORDAN HOMOMORPHISMS IN C*-TERNARY ALGEBRAS.

Authors :: Gharetapeh, S. Kaboli
Gordji, Madjid Eshaghi
Ghaemi, M. B.
Rashidi, E.
Source :: Journal of Nonlinear Sciences & Applications (JNSA); 2011, Vol. 4 Issue 1, p1-10, 10p
Publication Year :: 2011
Abstract: In this note, we prove the Hyers-Ulam-Rassias stability of Jordan homomorphisms in C*-ternary algebras for the following generalized Cauchy-Jensen additive mapping: rf(sΣ<superscript>p</superscript><subscript>j=1</subscript>x<subscript>j</subscript>+tΣ<superscript>d</superscript><subscript>j=1</subscript>x<subscript>j</subscript>/r)=sΣ<superscript>p</superscript><subscript>j=1</subscript>f(x<subscript>j</subscript>)+tΣ<superscript>d</superscript><subscript>j=1</subscript>f(x<subscript>j</subscript>) and generalize some results concerning this functional equation. [ABSTRACT FROM AUTHOR]