Adjusted labeling of conditions for Banach-Steinhaus.
All checks were successful
Compile Project / Compile (push) Successful in 26s
All checks were successful
Compile Project / Compile (push) Successful in 26s
This commit is contained in:
@@ -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 $\sup_{T \in \mathcal{T}}\norm{T}_{L(E; F)} < \infty$.
|
||||
|
||||
Reference in New Issue
Block a user