Approximate Generalized Cubic *-Derivations
We will show the general solution of the functional equation f(ax+by)+f(ax-by) = ab2[f(x+y)+f(x-y)]+2a(a2-b2)f(x) and investigate the stability of cubic *-derivations associated with the given functional equation on Banach *-algebras.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/757956 |
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| _version_ | 1832550627190767616 |
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| author | Heejeong Koh Dongseung Kang |
| author_facet | Heejeong Koh Dongseung Kang |
| author_sort | Heejeong Koh |
| collection | DOAJ |
| description | We will show the general solution of the functional equation f(ax+by)+f(ax-by) = ab2[f(x+y)+f(x-y)]+2a(a2-b2)f(x) and investigate the stability of cubic *-derivations associated with the given functional equation on Banach *-algebras. |
| format | Article |
| id | doaj-art-6b05d489d7844c83b441da08a3a8a545 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-6b05d489d7844c83b441da08a3a8a5452025-02-03T06:06:16ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/757956757956Approximate Generalized Cubic *-DerivationsHeejeong Koh0Dongseung Kang1Department of Mathematical Education, Dankook University, 152 Jukjeon-ro, Suji-gu, Yongin-si, Gyeonggi-do 448-701, Republic of KoreaDepartment of Mathematical Education, Dankook University, 152 Jukjeon-ro, Suji-gu, Yongin-si, Gyeonggi-do 448-701, Republic of KoreaWe will show the general solution of the functional equation f(ax+by)+f(ax-by) = ab2[f(x+y)+f(x-y)]+2a(a2-b2)f(x) and investigate the stability of cubic *-derivations associated with the given functional equation on Banach *-algebras.http://dx.doi.org/10.1155/2014/757956 |
| spellingShingle | Heejeong Koh Dongseung Kang Approximate Generalized Cubic *-Derivations Journal of Function Spaces |
| title | Approximate Generalized Cubic *-Derivations |
| title_full | Approximate Generalized Cubic *-Derivations |
| title_fullStr | Approximate Generalized Cubic *-Derivations |
| title_full_unstemmed | Approximate Generalized Cubic *-Derivations |
| title_short | Approximate Generalized Cubic *-Derivations |
| title_sort | approximate generalized cubic derivations |
| url | http://dx.doi.org/10.1155/2014/757956 |
| work_keys_str_mv | AT heejeongkoh approximategeneralizedcubicderivations AT dongseungkang approximategeneralizedcubicderivations |