| Title:
|
Nonlinear $\ast $-Lie higher derivations of standard operator algebras (English) |
| Author:
|
Ashraf, Mohammad |
| Author:
|
Ali, Shakir |
| Author:
|
Wani, Bilal Ahmad |
| Language:
|
English |
| Journal:
|
Communications in Mathematics |
| ISSN:
|
1804-1388 |
| Volume:
|
26 |
| Issue:
|
1 |
| Year:
|
2018 |
| Pages:
|
15-29 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $\mathcal {H}$ be an infinite-dimensional complex Hilbert space and $\mathfrak {A}$~be a standard operator algebra on $\mathcal {H}$ which is closed under the adjoint operation. It is shown that every nonlinear $\ast $-Lie higher derivation $\mathcal {D}=\{{\delta _n}\}_{n\in \mathbb {N}}$ of $\mathfrak {A}$ is automatically an additive higher derivation on $\mathfrak {A}$. Moreover, $\mathcal {D}=\{{\delta _n}\}_{n\in \mathbb {N}}$ is an inner $\ast $-higher derivation. (English) |
| Keyword:
|
Nonlinear $\ast $-Lie derivation |
| Keyword:
|
nonlinear $\ast $-Lie higher derivation |
| Keyword:
|
additive $\ast $-higher derivation |
| Keyword:
|
standard operator algebra. |
| MSC:
|
16W25 |
| MSC:
|
46K15 |
| MSC:
|
47B47 |
| idZBL:
|
Zbl 1410.16038 |
| idMR:
|
MR3827141 |
| . |
| Date available:
|
2018-11-06T16:19:28Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147455 |
| . |
| Reference:
|
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| . |
