Some Centrally Extended Derivations on Banach Algebras
In this article, we consider centrally extended derivations on Banach algebras. We first establish the stability of centrally extended derivations on Banach algebras. Then, we prove that under some conditions, approximate centrally extended derivations on Banach algebras are linear CE derivations.
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MDPI AG
2025-07-01
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| Series: | Mathematics |
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| author | Ick-Soon Chang Jaiok Roh |
| author_facet | Ick-Soon Chang Jaiok Roh |
| author_sort | Ick-Soon Chang |
| collection | DOAJ |
| description | In this article, we consider centrally extended derivations on Banach algebras. We first establish the stability of centrally extended derivations on Banach algebras. Then, we prove that under some conditions, approximate centrally extended derivations on Banach algebras are linear CE derivations. |
| format | Article |
| id | doaj-art-f3385fd0251b4f78bbf618e8b9789727 |
| institution | DOAJ |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-f3385fd0251b4f78bbf618e8b97897272025-08-20T03:08:06ZengMDPI AGMathematics2227-73902025-07-011314227110.3390/math13142271Some Centrally Extended Derivations on Banach AlgebrasIck-Soon Chang0Jaiok Roh1Department of Mathematics, Chungnam National University, Daejeon 34134, Republic of KoreaIlsong Liberal Art Schools (Mathematics), Hallym University, Chuncheon 24252, Republic of KoreaIn this article, we consider centrally extended derivations on Banach algebras. We first establish the stability of centrally extended derivations on Banach algebras. Then, we prove that under some conditions, approximate centrally extended derivations on Banach algebras are linear CE derivations.https://www.mdpi.com/2227-7390/13/14/2271Banach algebraCE derivationderivationstabilitysuperstability |
| spellingShingle | Ick-Soon Chang Jaiok Roh Some Centrally Extended Derivations on Banach Algebras Mathematics Banach algebra CE derivation derivation stability superstability |
| title | Some Centrally Extended Derivations on Banach Algebras |
| title_full | Some Centrally Extended Derivations on Banach Algebras |
| title_fullStr | Some Centrally Extended Derivations on Banach Algebras |
| title_full_unstemmed | Some Centrally Extended Derivations on Banach Algebras |
| title_short | Some Centrally Extended Derivations on Banach Algebras |
| title_sort | some centrally extended derivations on banach algebras |
| topic | Banach algebra CE derivation derivation stability superstability |
| url | https://www.mdpi.com/2227-7390/13/14/2271 |
| work_keys_str_mv | AT icksoonchang somecentrallyextendedderivationsonbanachalgebras AT jaiokroh somecentrallyextendedderivationsonbanachalgebras |