TERNARY JORDAN HOMOMORPHISMS IN \(C^*\)-TERNARY ALGEBRAS


Authors

S. KABOLI GHARETAPEH - Department of Mathematics, Payame Noor University, Mashhad Branch, Mashhad, Iran. MADJID ESHAGHI GORDJI - Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran. M. B. GHAEMI - Department of Mathematics, Iran University of Science and Technology, Tehran, Iran. E. RASHIDI - Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran.


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: \[rf( \frac{s \Sigma^p_{ j=1} x_j + t \Sigma^d_{ j=1} x_j}{ r} ) = s \Sigma^p_{ j=1} f(x_j) + t \Sigma^d_{ j=1} f(x_j)\] and generalize some results concerning this functional equation.


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ISRP Style

S. KABOLI GHARETAPEH, MADJID ESHAGHI GORDJI, M. B. GHAEMI, E. RASHIDI, TERNARY JORDAN HOMOMORPHISMS IN \(C^*\)-TERNARY ALGEBRAS, Journal of Nonlinear Sciences and Applications, 4 (2011), no. 1, 1--10

AMA Style

KABOLI GHARETAPEH S., ESHAGHI GORDJI MADJID, GHAEMI M. B., RASHIDI E., TERNARY JORDAN HOMOMORPHISMS IN \(C^*\)-TERNARY ALGEBRAS. J. Nonlinear Sci. Appl. (2011); 4(1):1--10

Chicago/Turabian Style

KABOLI GHARETAPEH, S., ESHAGHI GORDJI, MADJID, GHAEMI , M. B., RASHIDI, E.. "TERNARY JORDAN HOMOMORPHISMS IN \(C^*\)-TERNARY ALGEBRAS." Journal of Nonlinear Sciences and Applications, 4, no. 1 (2011): 1--10


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