Proposition 2.43 . [00IF]

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Proposition 2.43.

Let $\mathcal{C}$ be a $k$ -Banach algebra which is finite over an affinoid algebra $\mathcal{A}$ , then $\mathcal{C}$ itself is an affinoid algebra. If $\mathcal{A}$ is strict, then $\mathcal{C}$ is strict.