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Jordan *-Derivations on C*-Algebras and JC*-Algebras
- Authors
- An, Jong Su; Cui, Jianlian; Park, Choonkil
- Issue Date
- Oct-2008
- Publisher
- Hindawi Publishing Corporation
- Citation
- Abstract and Applied Analysis, pp 1 - 12
- Pages
- 12
- Indexed
- SCIE
SCOPUS
- Journal Title
- Abstract and Applied Analysis
- Start Page
- 1
- End Page
- 12
- ISSN
- 1085-3375
1687-0409
- Abstract
- We investigate Jordan *-derivations on C*-algebras and Jordan *-derivations on JC*-algebras associated with the following functional inequality parallel to f(x) + f(t) + kf(z)parallel to <= parallel to kf((x + y)/k + z)parallel to for some integer k greater than 1. We moreover prove the generalized Hyers-Ulam stability of Jordan *-derivations on C*-algebras and of Jordan *-derivations on JC*-algebras associated with the following functional equation f((x + y)/k + z) = (f(x) + f(y))/k + f(z) for some integer k greater than 1.
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