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초록
In this paper, we prove the Hyers-Ulam-Rassias stability of homomorphisms in C*-ternary algebras and of derivations on C*-ternary algebras for the following Cauchy-Jensen additive mappings: [GRAPHICS] [GRAPHICS] [GRAPHICS] These are applied to investigate isomorphisms between C*-ternary algebras. The concept of Hyers-Ulam-Rassias stability originated from the Th.M. Rassias' stability theorem that appeared in his paper [Th.M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978) 297-300].
키워드
Cauchy-Jensen functional equation; C*-ternary algebra isomorphism; Hyers-Ulam-Rassias stability; C*-ternary derivation; APPROXIMATELY ADDITIVE MAPPINGS; ULAM-RASSIAS STABILITY; FUNCTIONAL-EQUATIONS; BANACH-SPACES; HOMOMORPHISMS; DERIVATIONS
- 제목
- Isomorphisms between C*-ternary algebras
- 저자
- Park, Choonkil
- 발행일
- 2007-03
- 유형
- Article
- 권
- 327
- 호
- 1
- 페이지
- 101 ~ 115