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- W4308663968 abstract "Let $mathcal {A}$ be a unital $ast$-algebra. For $A, Binmathcal{A}$, define by $[A, B]_{*}=AB-BA^{ast}$ and $Abullet B=AB+BA^{ast}$ the new products of $A$ and $B$. In this paper, under some mild conditions on $mathcal {A}$, it is shown that a map $Phi:mathcal {A}rightarrow mathcal {A}$ satisfies $Phi([Abullet B, C]_{*})=[Phi(A)bullet B, C]_{*}+[Abullet Phi(B), C]_{*}+[Abullet B, Phi(C)]_{*}$ for all $A, B,Cinmathcal {A}$ if and only if $Phi$ is an additive $*-$derivation. In particular, we apply the above result to prime $ast$-algebras, von Neumann algebras with no central summands of type $I_1$, factor von Neumann algebras and standard operator algebras." @default.
- W4308663968 created "2022-11-14" @default.
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- W4308663968 date "2021-12-07" @default.
- W4308663968 modified "2023-09-23" @default.
- W4308663968 title "Nonlinear mixed Jordan triple *-derivations on *-algebras" @default.
- W4308663968 doi "https://doi.org/10.48550/arxiv.2112.04103" @default.
- W4308663968 hasPublicationYear "2021" @default.
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