Fixed wrong theorem name.
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Bokuan Li
2026-06-01 17:30:38 -04:00
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@@ -69,8 +69,8 @@
which tends to $0$ as $|\lambda| \to \infty$, $R_x \in H(\complex; A) \cap C_0(\complex; A)$. By \hyperref[Liouville's Theorem]{theorem:liouville}, $R_x = 0$, which is impossible.
\end{proof}
\begin{theorem}[Gelfand-Naimark]
\label{theorem:gelfand-naimark}
\begin{theorem}[Gelfand-Mazur]
\label{theorem:gelfand-mazur}
Let $A$ be a unital Banach algebra. If every non-zero element of $A$ is invertible, then $A$ is isometrically isomorphic to $\complex$.
\end{theorem}
\begin{proof}