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초록
We prove the Hyers-Ulam stability of linear N-isometries in linear N-normed Banach modules over a unital C*-algebra. The main purpose of this paper is to investigate N-isometric C*-algebra isomorphisms between linear N-normed C*-algebras, N-isometric Poisson C*-algebra isomorphisms between linear N-normed Poisson C*-algebras, N-isometric Lie C*-algebra isomorphisms between linear N-normed Lie C*-algebras, N-isometric Poisson JC*-algebra isomorphisms between linear N-normed Poisson JC*-algebras, and N-isometric Lie JC*-algebra isomorphisms between linear N-normed Lie JC*-algebras. Moreover, we prove the Hyers-Ulam stability of their N-isometric homomorphisms.
키워드
Hyers-Ulam stability; Trif's mapping; linear N-normed Banach module over C*-algebra; N-isometric isomorphism; ULAM-RASSIAS STABILITY; APPROXIMATELY ADDITIVE MAPPINGS; GENERALIZED QUADRATIC MAPPINGS; BANACH MODULES; ALEKSANDROV PROBLEM; FUNCTIONAL-EQUATIONS; CONSERVATIVE DISTANCES; JENSENS EQUATIONS; SPACES; HOMOMORPHISMS
- 제목
- The N-isometric isomorphisms in linear N-normed C*-algebras
- 저자
- Park, Chun-Gil; Rassias, Themistocles M.
- 발행일
- 2006-11
- 유형
- Article
- 권
- 22
- 호
- 6
- 페이지
- 1863 ~ 1890