Almost Generalized Derivation on Banach Algebras
We take into consideration generalized derivations. First, we study the stability of generalized derivations on Banach algebras under consideration. Then we prove some theorems involving approximate generalized derivations on Banach algebras. These results can be applied to <inline-formula><...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-12-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/10/24/4754 |
| _version_ | 1797456489938419712 |
|---|---|
| author | Jae-Hyeong Bae Ick-Soon Chang Hark-Mahn Kim |
| author_facet | Jae-Hyeong Bae Ick-Soon Chang Hark-Mahn Kim |
| author_sort | Jae-Hyeong Bae |
| collection | DOAJ |
| description | We take into consideration generalized derivations. First, we study the stability of generalized derivations on Banach algebras under consideration. Then we prove some theorems involving approximate generalized derivations on Banach algebras. These results can be applied to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>C</mi><mo>*</mo></msup></semantics></math></inline-formula>-algebras. |
| first_indexed | 2024-03-09T16:08:34Z |
| format | Article |
| id | doaj.art-e77736d4fbd64faa806031485d3de86d |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T16:08:34Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-e77736d4fbd64faa806031485d3de86d2023-11-24T16:29:09ZengMDPI AGMathematics2227-73902022-12-011024475410.3390/math10244754Almost Generalized Derivation on Banach AlgebrasJae-Hyeong Bae0Ick-Soon Chang1Hark-Mahn Kim2Humanitas College, Kyung Hee University, Yongin 17104, Republic of KoreaDepartment of Mathematics, Chungnam National University, 99 Daehangno, Yuseong-gu, Daejeon 34134, Republic of KoreaDepartment of Mathematics, Chungnam National University, 99 Daehangno, Yuseong-gu, Daejeon 34134, Republic of KoreaWe take into consideration generalized derivations. First, we study the stability of generalized derivations on Banach algebras under consideration. Then we prove some theorems involving approximate generalized derivations on Banach algebras. These results can be applied to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>C</mi><mo>*</mo></msup></semantics></math></inline-formula>-algebras.https://www.mdpi.com/2227-7390/10/24/4754Banach algebraC*-algebrageneralized derivationstability |
| spellingShingle | Jae-Hyeong Bae Ick-Soon Chang Hark-Mahn Kim Almost Generalized Derivation on Banach Algebras Mathematics Banach algebra C*-algebra generalized derivation stability |
| title | Almost Generalized Derivation on Banach Algebras |
| title_full | Almost Generalized Derivation on Banach Algebras |
| title_fullStr | Almost Generalized Derivation on Banach Algebras |
| title_full_unstemmed | Almost Generalized Derivation on Banach Algebras |
| title_short | Almost Generalized Derivation on Banach Algebras |
| title_sort | almost generalized derivation on banach algebras |
| topic | Banach algebra C*-algebra generalized derivation stability |
| url | https://www.mdpi.com/2227-7390/10/24/4754 |
| work_keys_str_mv | AT jaehyeongbae almostgeneralizedderivationonbanachalgebras AT icksoonchang almostgeneralizedderivationonbanachalgebras AT harkmahnkim almostgeneralizedderivationonbanachalgebras |