Adjusted labeling of conditions for Banach-Steinhaus.
All checks were successful
Compile Project / Compile (push) Successful in 26s

This commit is contained in:
Bokuan Li
2026-05-30 20:40:38 -04:00
parent edde66facc
commit 47145cdf58
2 changed files with 7 additions and 7 deletions

View File

@@ -73,8 +73,8 @@
\label{theorem:uniform-boundedness}
Let $E, F$ be normed vector spaces and $\mathcal{T} \subset L(E; F)$. If
\begin{enumerate}
\item[(B)] $E$ is a Banach space.
\item[(E2)] For every $x \in E$, $\sup_{T \in \mathcal{T}}\norm{Tx}_F < \infty$.
\item[(B1)] $E$ is a Banach space.
\item[(B2)] For every $x \in E$, $\sup_{T \in \mathcal{T}}\norm{Tx}_F < \infty$.
\end{enumerate}
then $\sup_{T \in \mathcal{T}}\norm{T}_{L(E; F)} < \infty$.