On $\delta$-superderivations of simple superalgebras of Jordan brackets

A complete description of $\delta$-derivations and $\delta$-superderivations is given for simple unital superalgebras of Jordan brackets over a field of characteristic different from~$2$ \textup{(}and, for the odd $\delta$-superderivations, different from~$3$; see Remark~A for characteristic~$3$\textup{)} and for simple unital finite-dimensional Jordan superalgebras over an algebraically closed field of characteristic $p\mathrm{\ne }2$ \textup{(}with the corrections of Remarks~A and~C for $p>2$\textup{)}. As a consequence, a criterion for simple unital superalgebras of Jordan brackets to be special is obtained.