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 |
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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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| _version_ | 1850167137335771136 |
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| author | Choonkil Park John Michael Rassias |
| author_facet | Choonkil Park John Michael Rassias |
| author_sort | Choonkil Park |
| collection | DOAJ |
| description | 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). |
| format | Article |
| id | doaj-art-da9977426480460ebf59d7a7d239187f |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-da9977426480460ebf59d7a7d239187f2025-08-20T02:21:16ZengWileyAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/360432360432Stability of the Jensen-Type Functional Equation in C∗-Algebras: A Fixed Point ApproachChoonkil Park0John Michael Rassias1Department of Mathematics, Hanyang University, Seoul 133-791, South KoreaPedagogical Department E.E., National and Capodistrian University of Athens, 4 Agamemnonos Street, Aghia Paraskevi, Athens 15342, GreeceUsing 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).http://dx.doi.org/10.1155/2009/360432 |
| spellingShingle | Choonkil Park John Michael Rassias Stability of the Jensen-Type Functional Equation in C∗-Algebras: A Fixed Point Approach Abstract and Applied Analysis |
| title | Stability of the Jensen-Type Functional Equation in C∗-Algebras: A Fixed Point Approach |
| title_full | Stability of the Jensen-Type Functional Equation in C∗-Algebras: A Fixed Point Approach |
| title_fullStr | Stability of the Jensen-Type Functional Equation in C∗-Algebras: A Fixed Point Approach |
| title_full_unstemmed | Stability of the Jensen-Type Functional Equation in C∗-Algebras: A Fixed Point Approach |
| title_short | Stability of the Jensen-Type Functional Equation in C∗-Algebras: A Fixed Point Approach |
| title_sort | stability of the jensen type functional equation in c∗ algebras a fixed point approach |
| url | http://dx.doi.org/10.1155/2009/360432 |
| work_keys_str_mv | AT choonkilpark stabilityofthejensentypefunctionalequationincalgebrasafixedpointapproach AT johnmichaelrassias stabilityofthejensentypefunctionalequationincalgebrasafixedpointapproach |