Approximation of linear mappings in Banach modules over C*-algebrasopen access
- Authors
- Park, Choonkil; Cho, Yeol Je; Saadati, Reza
- Issue Date
- Apr-2013
- Publisher
- SPRINGER
- Keywords
- fixed point; Hyers-Ulam stability; super-stability; generalized Euler-Lagrange type additive mapping; homomorphism; C*-algebra
- Citation
- JOURNAL OF INEQUALITIES AND APPLICATIONS, pp.1 - 15
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF INEQUALITIES AND APPLICATIONS
- Start Page
- 1
- End Page
- 15
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/163050
- DOI
- 10.1186/1029-242X-2013-185
- ISSN
- 1025-5834
- Abstract
- Let X, Y be Banach modules over a C*-algebra and let r(1), ..., r(n). R be given. Using fixed-point methods, we prove the stability of the following functional equation in Banach modules over a unital C*-algebra: Sigma(n)(j=1) f(1/2 Sigma(1 <= i <= n,i not equal j) r(i)x(i) - 1/2r(j)x(j)) + Sigma(n)(i=1) r(i)f(x(i)) = nf(1/2 Sigma(n)(i=1) r(i)x(i)). As an application, we investigate homomorphisms in unital C*-algebras.
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