TERNARY JORDAN HOMOMORPHISMS IN $C^*$-TERNARY ALGEBRAS

KABOLI GHARETAPEH, S.; ESHAGHI GORDJI, MADJID; GHAEMI , M. B.; RASHIDI, E.

doi:10.22436/jnsa.004.01.01

Geodesic

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TERNARY JORDAN HOMOMORPHISMS IN $C^*$-TERNARY ALGEBRAS

KABOLI GHARETAPEH, S.¹ ; ESHAGHI GORDJI, MADJID ² ; GHAEMI , M. B. ³ ; RASHIDI, E.²

¹ Department of Mathematics, Payame Noor University, Mashhad Branch, Mashhad, Iran
² Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran
³ Department of Mathematics, Iran University of Science and Technology, Tehran, Iran

Journal of nonlinear sciences and its applications, Tome 4 (2011) no. 1, p. 1-10.

Voir la notice de l'article provenant de la source International Scientific Research Publications

Résumé

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.

DOI : 10.22436/jnsa.004.01.01

Classification : 39B52, 39B82, 46B99, 17A40
Keywords: Hyers-Ulam-Rassias stability, $C^*$-ternary algebra.

Affiliations des auteurs :

KABOLI GHARETAPEH, S. ¹ ; ESHAGHI GORDJI, MADJID ² ; GHAEMI , M. B. ³ ; RASHIDI, E. ²

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     title = {TERNARY {JORDAN} {HOMOMORPHISMS} {IN} {\(C^*\)-TERNARY} {ALGEBRAS}},
     journal = {Journal of nonlinear sciences and its applications},
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KABOLI GHARETAPEH, S.; ESHAGHI GORDJI, MADJID; GHAEMI , M. B. ; RASHIDI, E. TERNARY JORDAN HOMOMORPHISMS IN \(C^*\)-TERNARY ALGEBRAS. Journal of nonlinear sciences and its applications, Tome 4 (2011) no. 1, p. 1-10. doi : 10.22436/jnsa.004.01.01. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.004.01.01/

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