JORDAN HOMOMORPHISMS IN PROPER $JCQ^*$-TRIPLES

KABOLI GHARETAPEH, S.; TALEBI, S.; PARK , CHOONKIL; ESHAGHI GORDJI, MADJID

doi:10.22436/jnsa.004.01.07

Geodesic

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JORDAN HOMOMORPHISMS IN PROPER $JCQ^*$-TRIPLES

KABOLI GHARETAPEH, S.¹ ; TALEBI, S.¹ ; PARK , CHOONKIL ² ; ESHAGHI GORDJI, MADJID ³

¹ Department of Mathematics, Payame Noor University, Mashhad Branch, Mashhad, Iran
² Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, Republic of Korea
³ Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran

Journal of nonlinear sciences and its applications, Tome 4 (2011) no. 1, p. 70-81.

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

Résumé

In this paper, we investigate Jordan homomorphisms in proper $JCQ^*$-triples associated with the generalized 3-variable Jesnsen functional equation

$rf(\frac{x + y + z}{ r} ) = f(x) + f(y) + f(z),$

with $r \in (0; 3) /\{1\}$. We moreover prove the Hyers-Ulam-Rassias stability of Jordan homomorphisms in proper $JCQ^*$-triples.

DOI : 10.22436/jnsa.004.01.07

Classification : 17C65, 47L60, 47Jxx, 39B52, 46L05
Keywords: Hyers-Ulam-Rassias stability, proper $JCQ^*$-triple Jordan homomorphism.

Affiliations des auteurs :

KABOLI GHARETAPEH, S. ¹ ; TALEBI, S. ¹ ; PARK , CHOONKIL ² ; ESHAGHI GORDJI, MADJID ³

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     title = {JORDAN {HOMOMORPHISMS} {IN} {PROPER} {\(JCQ^*\)-TRIPLES}},
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KABOLI GHARETAPEH, S.; TALEBI, S.; PARK , CHOONKIL ; ESHAGHI GORDJI, MADJID. JORDAN HOMOMORPHISMS IN PROPER \(JCQ^*\)-TRIPLES. Journal of nonlinear sciences and its applications, Tome 4 (2011) no. 1, p. 70-81. doi : 10.22436/jnsa.004.01.07. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.004.01.07/

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