Definition 34.9.1 (Positive Linear Functional).label Let $A$ be a unital $C^{*}$-algebra and $\phi \in A^{*}$, then $\phi$ is positive if $\dpn{x, \phi}{A}\ge 0$ for all positive elements $x \in A$.
Definition 34.9.1 (Positive Linear Functional).label Let $A$ be a unital $C^{*}$-algebra and $\phi \in A^{*}$, then $\phi$ is positive if $\dpn{x, \phi}{A}\ge 0$ for all positive elements $x \in A$.
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