JORDAN HOMOMORPHISMS IN PROPER \(JCQ^*\)-TRIPLES
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Authors
S. KABOLI GHARETAPEH
- Department of Mathematics, Payame Noor University, Mashhad Branch, Mashhad, Iran.
S. TALEBI
- Department of Mathematics, Payame Noor University, Mashhad Branch, Mashhad, Iran.
CHOONKIL PARK
- Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, Republic of Korea.
MADJID ESHAGHI GORDJI
- Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran.
Abstract
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.
Share and Cite
ISRP Style
S. KABOLI GHARETAPEH, S. TALEBI, CHOONKIL PARK, MADJID ESHAGHI GORDJI, JORDAN HOMOMORPHISMS IN PROPER \(JCQ^*\)-TRIPLES, Journal of Nonlinear Sciences and Applications, 4 (2011), no. 1, 70-81
AMA Style
KABOLI GHARETAPEH S., TALEBI S., PARK CHOONKIL, ESHAGHI GORDJI MADJID, JORDAN HOMOMORPHISMS IN PROPER \(JCQ^*\)-TRIPLES. J. Nonlinear Sci. Appl. (2011); 4(1):70-81
Chicago/Turabian Style
KABOLI GHARETAPEH, S., TALEBI, S., PARK , CHOONKIL, ESHAGHI GORDJI, MADJID. "JORDAN HOMOMORPHISMS IN PROPER \(JCQ^*\)-TRIPLES." Journal of Nonlinear Sciences and Applications, 4, no. 1 (2011): 70-81
Keywords
- Hyers-Ulam-Rassias stability
- proper \(JCQ^*\)-triple Jordan homomorphism.
MSC
- 17C65
- 47L60
- 47Jxx
- 39B52
- 46L05
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