PomeRemark 20.2.19.ECCF7648C028 The trace operator allows us to introduce the following extension of the moving Seshadri constant. For $T\in \mathcal{Z}_+(X,\alpha )$ and $x\in X$, define
\[ \epsilon (T,x)\coloneqq \inf _{V\ni x}\left(\frac{\operatorname{vol}\operatorname{Tr}_ V^{\alpha |_{\widetilde{V}}} T}{\operatorname{mult}_ x V} \right)^{\frac{1}{\dim V}}, \]
where $\operatorname{vol}\operatorname{Tr}_ V^{\alpha |_{\widetilde{V}}} T=0$ if $\operatorname{Tr}_ V^{\alpha |_{\widetilde{V}}} T$ is not defined. Here $V$ runs over all positive-dimensional closed irreducible analytic subsets of $X$ containing $x$.
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