Theorem 19.5.40.14121F7F4FC5 For any $T\in \mathcal{Z}_+(X,\alpha )_{>0}$,
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\begin{equation} \Delta _{Y_{\bullet }}(T)=\overline{\left\{ \nu _{Y_{\bullet }}(S):S\in \mathcal{Z}_+(X,\alpha ),S\preceq _{\mathcal{I}}T\right\} }. \end{equation}
In particular,1
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\begin{equation} \Delta _{Y_{\bullet }}(\alpha )=\overline{\left\{ \nu _{Y_{\bullet }}(S):S\in \mathcal{Z}_+(X,\alpha )\right\} }. \end{equation}
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