We introduce generalizations of \( *\)-Lie derivable mappings (which are not necessarily linear) on \(*\)-algebras and then provide characterizations of these generalizations on standard operator algebras. Indeed, if \( {\mathcal {H}} \) is an infinite dimensional complex Hilbert space and \( {\mathcal {A}} \) be a unital standard operator algebra on \( {\mathcal {H}} \) which is closed under the adjoint operation, then we characterize these mappings on \({\mathcal {A}}\), especially we show that these mappings are linear. Our results are various generalizations of the main result of [W. Jing, Nonlinear \(*\)-Lie derivations of standard operator algebras, Quaestiones Math. 39 (2016), 1037–1046].

我们在\(*\) -代数上引入\( *\) -Lie 可导映射（不一定是线性的）的推广，然后在标准算子代数上提供这些推广的表征。事实上，如果\( {\mathcal {H}} \)是无限维复希尔伯特空间且\( {\mathcal {A}} \)是\( {\mathcal {H}} \上的酉标准算子代数)在伴随运算下是封闭的，然后我们在\({\mathcal {A}}\)上表征这些映射，特别是我们证明这些映射是线性的。我们的结果是 [W. 静，非线性 \(*\) -标准算子代数的李推导，Quaestiones Math。39（2016），1037-1046]。