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초록
We prove the Hyers-Ulam stability of linear d-isometries in d-normed Banach modules over a unital C*-algebra and of linear isometries in Banach modules over a unital C*-algebra. The main purpose of this paper is to investigate d-isometric C*-algebra isomorphisms between linear d-normed C*-algebras and isometric C*-algebra isomorphisms between C*-algebras, and d-isometric Poisson C*-algebra isomorphisms between linear d-normed Poisson C*-algebras and isometric Poisson C*-algebra isomorphisms between Poisson C*-algebras. We moreover prove the Hyers-Ulam stability of their d-isometric hemomorphisms and of their isometric homomorphisms.
키워드
Hyers-Ulam stability; linear d-normed Banach module over C*-algebra; isometric isomorphism; d-isometric isomorphism; Cauchy additive mapping; C-ASTERISK-ALGEBRAS; APPROXIMATELY ADDITIVE MAPPINGS; ULAM-RASSIAS STABILITY; QUANTUM N-SPACE; ALEKSANDROV PROBLEM; CONSERVATIVE DISTANCES; FUNCTIONAL-EQUATIONS; HOMOMORPHISMS; DERIVATIONS; AUTOMORPHISM
- 제목
- d-isometric linear mappings in linear d-normed Banach modules
- 저자
- Park, Choonkil; Rassias, Themistocles M.
- 발행일
- 2008-01
- 유형
- Article
- 저널명
- 대한수학회지
- 권
- 45
- 호
- 1
- 페이지
- 249 ~ 271