Jordan and Lie derivations of $ϕ$-Johnson amenable Banach algebras
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916315227226112 |
|---|---|
| author | Ghahramani, Hoger Zamani, Parvin |
| author_facet | Ghahramani, Hoger Zamani, Parvin |
| contents | Let U be a $ϕ$-Johnson amenable Banach algebra in which $ϕ$ is a non-zero multiplicative linear functional on U. Suppose that X is a Banach U-bimodule such that $a.x=ϕ(a)x$ for all a in U and x in X or $x.a=ϕ(a)x$ for all a in U and x in X. We show that every continuous Jordan derivation from U to X is a derivation, and every continuous Lie derivation from U to X decomposed into the sum of a continuous derivation and a continuous center-valued trace. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_17701 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Jordan and Lie derivations of $ϕ$-Johnson amenable Banach algebras Ghahramani, Hoger Zamani, Parvin Functional Analysis Let U be a $ϕ$-Johnson amenable Banach algebra in which $ϕ$ is a non-zero multiplicative linear functional on U. Suppose that X is a Banach U-bimodule such that $a.x=ϕ(a)x$ for all a in U and x in X or $x.a=ϕ(a)x$ for all a in U and x in X. We show that every continuous Jordan derivation from U to X is a derivation, and every continuous Lie derivation from U to X decomposed into the sum of a continuous derivation and a continuous center-valued trace. |
| title | Jordan and Lie derivations of $ϕ$-Johnson amenable Banach algebras |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2406.17701 |