Corollary 3.15 . [00KT]

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Corollary 3.15.

With the same hypothesis as above, for $e_{n}^{\vee}(x)\in(L^{\otimes n})^{\vee}(x)\setminus 0$ , one has

\lvert e_{n}^{\vee}(x)\rvert_{\mathrm{FS}(\lVert\mathord{\cdot}\rVert_{n})^{\vee}}=\max\Big\{\lvert e_{n}^{\vee}(x)(s_{n,j})\rvert_{\widehat{\kappa}(x)}\cdot\lVert s_{n,j}\rVert_{n}^{-1}\Big\}.