On superstability of derivations in Banach algebras
In this article, we consider some types of derivations in Banach algebras. In detail, we investigate the question of whether the superstability can be achieved under some conditions for some types of derivations, such as Jordan derivations, generalized Lie 2-derivations, and generalized Lie derivati...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2025-06-01
|
| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2025-0146 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850114373171806208 |
|---|---|
| author | Chang Ick-Soon Kim Hark-Mahn Roh Jaiok |
| author_facet | Chang Ick-Soon Kim Hark-Mahn Roh Jaiok |
| author_sort | Chang Ick-Soon |
| collection | DOAJ |
| description | In this article, we consider some types of derivations in Banach algebras. In detail, we investigate the question of whether the superstability can be achieved under some conditions for some types of derivations, such as Jordan derivations, generalized Lie 2-derivations, and generalized Lie derivations. |
| format | Article |
| id | doaj-art-dc6b604eb2a548bda41dd45c5fa78852 |
| institution | OA Journals |
| issn | 2391-5455 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj-art-dc6b604eb2a548bda41dd45c5fa788522025-08-20T02:36:53ZengDe GruyterOpen Mathematics2391-54552025-06-0123124224610.1515/math-2025-0146On superstability of derivations in Banach algebrasChang Ick-Soon0Kim Hark-Mahn1Roh Jaiok2Nano Convergence Technology Research Institute, School of Semiconductor – Display Technology, Hallym University, Chuncheon, Kangwon-Do 24252, Republic of KoreaDepartment of Mathematics, Chungnam National University, Daejeon 34134, Republic of KoreaIlsong Liberal Art Schools (Mathematics), Hallym University, Chuncheon, Kangwon-Do 24252, Republic of KoreaIn this article, we consider some types of derivations in Banach algebras. In detail, we investigate the question of whether the superstability can be achieved under some conditions for some types of derivations, such as Jordan derivations, generalized Lie 2-derivations, and generalized Lie derivations.https://doi.org/10.1515/math-2025-0146banach algebrajordan derivationsgeneralized lie derivationssuperstability16n6016w8039b7239b8246h40 |
| spellingShingle | Chang Ick-Soon Kim Hark-Mahn Roh Jaiok On superstability of derivations in Banach algebras Open Mathematics banach algebra jordan derivations generalized lie derivations superstability 16n60 16w80 39b72 39b82 46h40 |
| title | On superstability of derivations in Banach algebras |
| title_full | On superstability of derivations in Banach algebras |
| title_fullStr | On superstability of derivations in Banach algebras |
| title_full_unstemmed | On superstability of derivations in Banach algebras |
| title_short | On superstability of derivations in Banach algebras |
| title_sort | on superstability of derivations in banach algebras |
| topic | banach algebra jordan derivations generalized lie derivations superstability 16n60 16w80 39b72 39b82 46h40 |
| url | https://doi.org/10.1515/math-2025-0146 |
| work_keys_str_mv | AT changicksoon onsuperstabilityofderivationsinbanachalgebras AT kimharkmahn onsuperstabilityofderivationsinbanachalgebras AT rohjaiok onsuperstabilityofderivationsinbanachalgebras |