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초록
In this paper, we prove the Hyers-Ulam-Rassias stability of isometric homomorphisms in proper CQ*-algebras for the following Cauchy-Jensen additive mapping: 2f(x(1) + x(2)/2 + y) = f(x(1)) + f(x(2)) + 2f(y). The concept of Hyers-Ulam-Rassias stability originated from the Th.M. Rassias' stability theorem that appeared in the paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc., 72 (1978), 297-300. This is applied to investigate isometric isomorphisms between proper CQ*-algebras.
키워드
Cauchy-Jensen functional equation; Hyers-Ulam-Rassias stability; isometric isomorphism in proper CQ*-algebras; ULAM-RASSIAS STABILITY; BANACH-SPACES; FUNCTIONAL-EQUATIONS; ADDITIVE MAPPINGS; HOMOMORPHISMS; DERIVATIONS; OPERATORS
- 제목
- Isometric Isomorphisms in Proper CQ*-algebras
- 저자
- Park, Choonkil; An, Jong Su
- 발행일
- 2009-07
- 유형
- Article
- 권
- 25
- 호
- 7
- 페이지
- 1131 ~ 1138