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Homomorphisms and derivations in proper JCQ*-triples
- Issue Date
- Jan-2008
- Publisher
- Academic Press
- Keywords
- functional equation; generalized Hyers-Ulam stability; proper JCQ*-triple homomorphism; proper JCQ*-triple derivation
- Citation
- Journal of Mathematical Analysis and Applications, v.337, no.2, pp 1404 - 1414
- Pages
- 11
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Mathematical Analysis and Applications
- Volume
- 337
- Number
- 2
- Start Page
- 1404
- End Page
- 1414
- ISSN
- 0022-247X
1096-0813
- Abstract
- In this paper, we investigate homomorphisms in proper JCQ*-triples and derivations on proper JCQ*-triples associated with the following functional equation 1/k f(kx+ky+kz) = f(x)+f(y)+f(z) for a fixed positive integer k. We moreover prove the generalized Hyers-Ulam stability of homomorphisms in proper JCQ*-triples and of derivations on proper JCQ*-triples. This is applied to investigate isomorphisms between proper JCQ* -triples.
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