Stability of the Jensen-Type Functional Equation in C∗-Algebras: A Fixed Point Approach
Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in C∗-algebras and Lie C∗-algebras and also of derivations on C∗-algebras and Lie C∗-algebras for the Jensen-type functional equation f((x+y)/2)+f((x−y)/2)=f(x).
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/360432 |
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| Summary: | Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in C∗-algebras and Lie C∗-algebras and also of derivations on
C∗-algebras and Lie C∗-algebras for the Jensen-type functional equation
f((x+y)/2)+f((x−y)/2)=f(x). |
|---|---|
| ISSN: | 1085-3375 1687-0409 |