Added the unitisation.
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@@ -19,7 +19,6 @@
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\label{proposition:gelfand-transform-gymnastics}
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Let $A$ be a commutative unital Banach algebra and $x \in A$, then:
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\begin{enumerate}
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\item $\Gamma_A$ is a contractive homomorphism.
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\item $\Gamma_A(1) = 1$.
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\item $x \in G(A)$ if and only if $\Gamma_A x \in G(C(\Omega(A); \complex))$.
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\item $(\Gamma_Ax)(\Omega(A)) = \sigma_A(x)$.
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