Abstract
Abstract Let 𝒜 be a prime ∗-algebra. For any A , B ∈ A \mathscr{A},\mathscr{B}\in\mathcal{A} , a product A ⋆ B = A B * + B A * \mathscr{A}\star\mathscr{B}=\mathscr{A}\mathscr{B}^{*}+\mathscr{B}\mathscr{A}^{*} is called a bi-skew Jordan product. In this paper, it is shown that every multiplicative bi-skew Jordan triple derivation is an additive ∗-derivation on a prime ∗-algebra.
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