Fixed wrong theorem name.
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@@ -69,8 +69,8 @@
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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.
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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.
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\end{proof}
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\end{proof}
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\begin{theorem}[Gelfand-Naimark]
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\begin{theorem}[Gelfand-Mazur]
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\label{theorem:gelfand-naimark}
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\label{theorem:gelfand-mazur}
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Let $A$ be a unital Banach algebra. If every non-zero element of $A$ is invertible, then $A$ is isometrically isomorphic to $\complex$.
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Let $A$ be a unital Banach algebra. If every non-zero element of $A$ is invertible, then $A$ is isometrically isomorphic to $\complex$.
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\end{theorem}
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\end{theorem}
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\begin{proof}
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\begin{proof}
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