Approximate Riesz Algebra-Valued Derivations
Let be a Riesz algebra with an extended norm such that is complete. Also, let be another extended norm in weaker than such that whenever (a) and in , then ; (b) and in , then . Let and be two nonnegative real numbers. Assume that a map satisfies and for all . In this paper, we prove t...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/240258 |
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| _version_ | 1832565931163779072 |
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| author | Faruk Polat |
| author_facet | Faruk Polat |
| author_sort | Faruk Polat |
| collection | DOAJ |
| description | Let be a Riesz algebra with an extended norm such that is complete. Also, let be another extended norm in weaker than such that whenever (a) and in , then ; (b) and in , then . Let and be two nonnegative real numbers. Assume that a map satisfies and for all . In this paper, we prove that there exists a unique derivation such that , (). Moreover, for all . |
| format | Article |
| id | doaj-art-763d880dde1d4e5e8f4f1ea66536ae70 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-763d880dde1d4e5e8f4f1ea66536ae702025-02-03T01:05:31ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/240258240258Approximate Riesz Algebra-Valued DerivationsFaruk Polat0Department of Mathematics, Faculty of Science, Çankırı Karatekin University, 18000 Çankırı, TurkeyLet be a Riesz algebra with an extended norm such that is complete. Also, let be another extended norm in weaker than such that whenever (a) and in , then ; (b) and in , then . Let and be two nonnegative real numbers. Assume that a map satisfies and for all . In this paper, we prove that there exists a unique derivation such that , (). Moreover, for all .http://dx.doi.org/10.1155/2012/240258 |
| spellingShingle | Faruk Polat Approximate Riesz Algebra-Valued Derivations Abstract and Applied Analysis |
| title | Approximate Riesz Algebra-Valued Derivations |
| title_full | Approximate Riesz Algebra-Valued Derivations |
| title_fullStr | Approximate Riesz Algebra-Valued Derivations |
| title_full_unstemmed | Approximate Riesz Algebra-Valued Derivations |
| title_short | Approximate Riesz Algebra-Valued Derivations |
| title_sort | approximate riesz algebra valued derivations |
| url | http://dx.doi.org/10.1155/2012/240258 |
| work_keys_str_mv | AT farukpolat approximaterieszalgebravaluedderivations |