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초록
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.
키워드
3-variable Jensen functional equation; Hyers–Ulam–Rassias Stability; Proper JCQ*-triple derivation; Proper JCQ*-triple homomorphism
- 제목
- Isomorphisms and derivations in proper JCQ*-triples
- 저자
- Park, Choon kil; Eshaghi-Gordji, Madjid
- 발행일
- 2012-06
- 유형
- Book Chapter
- 권
- 52
- 페이지
- 229 ~ 245