Superstability of Generalized Derivations
<p/> <p>We investigate the superstability of the functional equation <inline-formula> <graphic file="1029-242X-2010-740156-i1.gif"/></inline-formula>, where <inline-formula> <graphic file="1029-242X-2010-740156-i2.gif"/></inline-formul...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2010/740156 |
| _version_ | 1818313310502649856 |
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| author | Ansari-Piri Esmaeil Anjidani Ehsan |
| author_facet | Ansari-Piri Esmaeil Anjidani Ehsan |
| author_sort | Ansari-Piri Esmaeil |
| collection | DOAJ |
| description | <p/> <p>We investigate the superstability of the functional equation <inline-formula> <graphic file="1029-242X-2010-740156-i1.gif"/></inline-formula>, where <inline-formula> <graphic file="1029-242X-2010-740156-i2.gif"/></inline-formula> and <inline-formula> <graphic file="1029-242X-2010-740156-i3.gif"/></inline-formula> are the mappings on Banach algebra <inline-formula> <graphic file="1029-242X-2010-740156-i4.gif"/></inline-formula>. We have also proved the superstability of generalized derivations associated to the linear functional equation <inline-formula> <graphic file="1029-242X-2010-740156-i5.gif"/></inline-formula>, where <inline-formula> <graphic file="1029-242X-2010-740156-i6.gif"/></inline-formula>.</p> |
| first_indexed | 2024-12-13T08:31:43Z |
| format | Article |
| id | doaj.art-b4287901a00747dfbb441d6f856a5c5c |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-13T08:31:43Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-b4287901a00747dfbb441d6f856a5c5c2022-12-21T23:53:45ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101740156Superstability of Generalized DerivationsAnsari-Piri EsmaeilAnjidani Ehsan<p/> <p>We investigate the superstability of the functional equation <inline-formula> <graphic file="1029-242X-2010-740156-i1.gif"/></inline-formula>, where <inline-formula> <graphic file="1029-242X-2010-740156-i2.gif"/></inline-formula> and <inline-formula> <graphic file="1029-242X-2010-740156-i3.gif"/></inline-formula> are the mappings on Banach algebra <inline-formula> <graphic file="1029-242X-2010-740156-i4.gif"/></inline-formula>. We have also proved the superstability of generalized derivations associated to the linear functional equation <inline-formula> <graphic file="1029-242X-2010-740156-i5.gif"/></inline-formula>, where <inline-formula> <graphic file="1029-242X-2010-740156-i6.gif"/></inline-formula>.</p>http://www.journalofinequalitiesandapplications.com/content/2010/740156 |
| spellingShingle | Ansari-Piri Esmaeil Anjidani Ehsan Superstability of Generalized Derivations Journal of Inequalities and Applications |
| title | Superstability of Generalized Derivations |
| title_full | Superstability of Generalized Derivations |
| title_fullStr | Superstability of Generalized Derivations |
| title_full_unstemmed | Superstability of Generalized Derivations |
| title_short | Superstability of Generalized Derivations |
| title_sort | superstability of generalized derivations |
| url | http://www.journalofinequalitiesandapplications.com/content/2010/740156 |
| work_keys_str_mv | AT ansaripiriesmaeil superstabilityofgeneralizedderivations AT anjidaniehsan superstabilityofgeneralizedderivations |