Stability of the Jensen-type functional equation in \(C^{\ast}\)-algebras: a fixed point approach (Q1030652)
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scientific article; zbMATH DE number 5574417
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of the Jensen-type functional equation in \(C^{\ast}\)-algebras: a fixed point approach |
scientific article; zbMATH DE number 5574417 |
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Stability of the Jensen-type functional equation in \(C^{\ast}\)-algebras: a fixed point approach (English)
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2 July 2009
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Summary: Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in \(C^{\ast }\)-algebras and Lie \(C^{\ast }\)-algebras and also of derivations on \(C^{\ast }\)-algebras and Lie \(C^{\ast }\)-algebras for the Jensen-type functional equation \(f((x+y)/2)+f((x - y)/2)=f(x)\).
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fixed point methods
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Hyers-Ulam stability
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homomorphisms
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\(C^{\ast }\)-algebras
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Lie \(C^{\ast }\)-algebras
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derivations
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Jensen-type functional equation
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