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Isomorphisms and derivations in proper JCQ*-triples
- Issue Date
- Jun-2012
- Publisher
- Springer International Publishing AG
- Keywords
- 3-variable Jensen functional equation; Hyers–Ulam–Rassias Stability; Proper JCQ*-triple derivation; Proper JCQ*-triple homomorphism
- Citation
- Springer Optimization and Its Applications, v.52, pp 229 - 245
- Pages
- 17
- Indexed
- SCOPUS
- Journal Title
- Springer Optimization and Its Applications
- Volume
- 52
- Start Page
- 229
- End Page
- 245
- ISSN
- 1931-6828
1931-6836
- Abstract
- We investigate homomorphisms in proper JCQ*-triples and derivations on proper JCQ*-triples associated with the 3-variable Jensen functional equation 2f(x+y+z/2)= f(x)+f(y)+f(z), which was introduced and investigated by Park, Cho and Han. We moreover prove the Hyers?Ulam?Rassias 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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