Stability of $(α,β,γ)-$derivations on Lie $C^*-$algebras
| dc.creator | Gordji, M. Eshaghi | |
| dc.creator | Ghobadipour, N. | |
| dc.date | 2009-05-13 | |
| dc.date.accessioned | 2026-07-07T13:14:34Z | |
| dc.date.available | 2026-07-07T13:14:34Z | |
| dc.description | Petr Novotný and Jiřĺ Hrivnák \cite{Nov} investigated generalize the concept of Lie derivations via certain complex parameters and obtained various Lie and Jordan operator algebras as well as two one- parametric sets of linear operators. Moreover, they established the structure and properties of $(α,β,γ)-$derivations of Lie algebras. We say a functional equation $(ξ)$ is stable if any function $g$ satisfying the equation $(ξ)$ {\it approximately} is near to true solution of $(ξ).$ In the present paper, we investigate the stability of $(α,β,γ)-$derivations on Lie $C^*$-algebras associated with the following functional equation $$f(\frac{x_2-x_1}{3})+f(\frac{x_1-3 x_3}{3})+ f(\frac{3x_1+3x_3-x_2}{3})=f(x_1).$$ } | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/0905.2173 | |
| dc.identifier | http://arxiv.org/abs/0905.2173 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/230249 | |
| dc.subject | Differential Geometry | |
| dc.subject | 17B05; 17B40; 46LXX | |
| dc.title | Stability of $(α,β,γ)-$derivations on Lie $C^*-$algebras | |
| dc.type | text |