Definition 29.7.1 (Multiplicative Functional).label Let $A$ be a unital Banach algebra and $\phi \in A^{*}$, then $\phi$ is multiplicative if $\phi \ne 0$ and for each $x, y \in A$, $\phi(xy) = \phi(x)\phi(y)$.
Definition 29.7.1 (Multiplicative Functional).label Let $A$ be a unital Banach algebra and $\phi \in A^{*}$, then $\phi$ is multiplicative if $\phi \ne 0$ and for each $x, y \in A$, $\phi(xy) = \phi(x)\phi(y)$.
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