Definition 17.15.33F6690BE17BAF

Definition 17.15.33.F6690BE17BAF Let $\Gamma \in \mathrm{TC}(X,\theta )_{>0}$ and $\lambda >0$, we define $\lambda \Gamma \in \mathrm{TC}(X,\lambda \theta )_{>0}$ as follows:

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   We set

   \[ \left(\lambda \Gamma \right)_{\max }=\lambda \Gamma _{\max }; \]
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   for any $\tau < \left(\lambda \Gamma \right)_{\max }$, we set

   \[ (\lambda \Gamma )_{\tau }=\lambda \Gamma _{\lambda ^{-1}\tau }. \]