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Adjusted wording of Banach-Steinhaus.
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Bokuan Li
2026-05-06 00:32:24 -04:00
parent ca3465b3d4
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src/fa/tvs/equicontinuous.tex
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@@ -40,7 +40,7 @@
then then
\begin{enumerate} \begin{enumerate}
\item[(E1)] $\alg$ is equicontinuous. \item[(E1)] $\alg$ is equicontinuous.
\item[(C1)] The product uniformity and the compact uniformity on $\cf$ coincide. \item[(C1)] The product topology and the compact-open topology on $\cf$ coincide.
\item[(C2)] The closure of $\alg$ in $F^E$ is with respect to the product topology is an equicontinuous subset of $L(E; F)$. \item[(C2)] The closure of $\alg$ in $F^E$ is with respect to the product topology is an equicontinuous subset of $L(E; F)$.
\end{enumerate} \end{enumerate}
\end{theorem} \end{theorem}