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초록
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.
키워드
functional equation; generalized Hyers-Ulam stability; proper JCQ*-triple homomorphism; proper JCQ*-triple derivation; FUNCTIONAL-EQUATIONS; UNBOUNDED OPERATORS; ALGEBRAIC APPROACH; RASSIAS STABILITY; DYNAMICS; MODEL
- 제목
- Homomorphisms and derivations in proper JCQ*-triples
- 저자
- Park, Choonkil; Rassias, Themistocles M.
- 발행일
- 2008-01
- 유형
- Article
- 권
- 337
- 호
- 2
- 페이지
- 1404 ~ 1414