Jordan ∗‐Derivations on C∗‐Algebras and JC∗‐Algebras
Jong Su An,
Jianlian Cui and
Choonkil Park
Abstract and Applied Analysis, 2008, vol. 2008, issue 1
Abstract:
We investigate Jordan ∗‐derivations on C∗‐algebras and Jordan ∗‐derivations on JC∗‐algebras associated with the following functional inequality ∥f(x) + f(y) + kf(z)∥ ≤ ∥kf((x + y)/k + z)∥ 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.
Date: 2008
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https://doi.org/10.1155/2008/410437
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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2008:y:2008:i:1:n:410437
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