Adjusted citation formats. Moved citation off of named theorems if possible.
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Bokuan Li
2026-03-19 23:58:16 -04:00
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\end{proof}
\begin{theorem}[Singer's Representation Theorem, {{\cite{HensgenSinger}}}]
\begin{theorem}[Singer's Representation Theorem]
\label{theorem:singer-representation}
Let $X$ be an LCH space and $E$ be a normed space over $K \in \RC$. For each $\mu \in M_R(X; E^*)$, let
\[
@@ -103,7 +103,7 @@
is an isometric isomorphism.
\end{theorem}
\begin{proof}
\begin{proof}[Proof {{\cite{HensgenSinger}}}. ]
(Isometric): Let $\mu \in M_R(X; E^*)$, then for any $f \in C_0(X; E)$,
\[
|\dpn{f, I_\mu}{C_0(X; E)}| \le \int \norm{f}_E d|\mu| \le \norm{f}_u \cdot \norm{\mu}_{\text{var}}