Geodesic
The nonlinear mixed bi-skew Lie triple derivations on ∗-algebras
Filomat, Tome 37 (2023) no. 29, p. 9981

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DOI

Let A be a unital *-algebra. In this paper, under some mild conditions on A, it is shown that a map Φ : A → A is a nonlinear mixed bi-skew Lie triple derivation if and only if Φ is an additive *-derivation. As applications, nonlinear mixed bi-skew Lie triple derivations on prime *-algebras, von Neumann algebras with no central summands of type I 1 , factor von Neumann algebras and standard operator algebras are characterized.
DOI : 10.2298/FIL2329981W
Classification : 16W25, 16N60
Keywords: Mixed bi-skew Lie triple derivation, Derivations, Additivity 
Jingxuan Wang; Changjing Li; Yueliang Liang; Lin Chen. The nonlinear mixed bi-skew Lie triple derivations on ∗-algebras. Filomat, Tome 37 (2023) no. 29, p. 9981 . doi: 10.2298/FIL2329981W
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     title = {The nonlinear mixed bi-skew {Lie} triple derivations on \ensuremath{*}-algebras},
     journal = {Filomat},
     pages = {9981 },
     year = {2023},
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     number = {29},
     doi = {10.2298/FIL2329981W},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2329981W/}
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