Abstract
Let 𝒜 be a unital ∗-algebra. Under some mild conditions on 𝒜, we show that ϕ is a nonlinear bi-skew Lie-type derivation on 𝒜 if and only if ϕ is an additive ∗-derivation. As applications, nonlinear bi-skew Lie-type derivations on prime ∗-algebras, von Neumann algebras with no central summands of type I1, factor von Neumann algebras and standard operator algebras are characterized.
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