Jordan left $α$-centralizer on certain algebras
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913529240485888 |
|---|---|
| author | Eisaei, M. Mehdipour, M. J. Moghimi, Gh. R. |
| author_facet | Eisaei, M. Mehdipour, M. J. Moghimi, Gh. R. |
| contents | In this paper, we investigate Jordan left $α$-centralizer on algebras. We show that every Jordan left $α$-centralizer on an algebra with a right identity is a left $α$-centralizer. We also investigate this result for Banach algebras with a bounded approximate identity. Finally, we study Jordan left $α$-centralizer on group algebra $L^1(G)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_02553 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Jordan left $α$-centralizer on certain algebras Eisaei, M. Mehdipour, M. J. Moghimi, Gh. R. Functional Analysis In this paper, we investigate Jordan left $α$-centralizer on algebras. We show that every Jordan left $α$-centralizer on an algebra with a right identity is a left $α$-centralizer. We also investigate this result for Banach algebras with a bounded approximate identity. Finally, we study Jordan left $α$-centralizer on group algebra $L^1(G)$. |
| title | Jordan left $α$-centralizer on certain algebras |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2410.02553 |