Definition 29.8.1 (Gelfand Transform).label Let $A$ be a unital Banach algebra, then the Gelfand transform is the homomorphism
\[\Gamma = \Gamma_{A}: A \to C(\Omega(A); \complex) \quad (\Gamma_{A}x)(\varphi) = \varphi(x)\]
Definition 29.8.1 (Gelfand Transform).label Let $A$ be a unital Banach algebra, then the Gelfand transform is the homomorphism
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