Hyers-Ulam-Rassias stability of n-apollonius type additive mapping and isomorphisms in c*-algebras
- Authors
- Moradlou, Fridoun; Park, Choonkil; Lee, Jung Rye
- Issue Date
- Jul-2012
- Keywords
- C*-algebra homomorphism; Generalized derivation; Hyers-Ulam-Rassias stability; N-Apollonius type additive mapping
- Citation
- International Journal of Mathematical Analysis, v.6, no.3, pp.111 - 128
- Indexed
- SCOPUS
- Journal Title
- International Journal of Mathematical Analysis
- Volume
- 6
- Number
- 3
- Start Page
- 111
- End Page
- 128
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/165106
- ISSN
- 1312-8876
- Abstract
- In this paper, we prove Hyers-Ulam-Rassias stability of the following functional equation in Banach modules over a unital C*-algebra:which n is fixed integer and n ≤ 2. As an application, we show that every almost linear bijection h: A → B of a unital C*-algebra A onto a unital C*- algebra B is a C*-algebra isomorphism when for all unitaries u ∈ A, all y ∈ A, and all d ∈ Z.
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