نویسندگان | Mohsen Niazi, |
---|---|
نشریه | Filomat |
شماره صفحات | 1687-1708 |
شماره سریال | 31 |
شماره مجلد | 6 |
ضریب تاثیر (IF) | 0.695 |
نوع مقاله | Full Paper |
تاریخ انتشار | 2017 |
رتبه نشریه | ISI |
نوع نشریه | الکترونیکی |
کشور محل چاپ | ایران |
نمایه نشریه | JCR،Scopus |
چکیده مقاله
We introduce the notion of weak-2-local derivation (respectively, *-derivation) on a C*-algebra A as a (non-necessarily linear) map ∆ : A → A satisfying that for every a, b ∈ A and φ ∈ A* there exists a derivation (respectively, a *-derivation) Da,b,φ : A → A, depending on a, b and φ, such that φ∆(a) = φDa,b,φ(a) and φ∆(b) = φDa,b,φ(b). We prove that every weak-2-local *-derivation on Mn is a linear derivation. We also show that the same conclusion remains true for weak-2-local *-derivations on finite dimensional C*-algebras.
tags: weak-2-local derivations, weak-2-local *-derivations, finite dimensional C*-algebras