Definition 9.8.1.label Let $A$ be a unital $C^{*}$-algebra and $\phi\in A^{*}$, then $\phi$ is positive if $\inner{x}{\phi}_{A}\geq0$ for all positive elements $x\in A$.
Definition 9.8.1.label Let $A$ be a unital $C^{*}$-algebra and $\phi\in A^{*}$, then $\phi$ is positive if $\inner{x}{\phi}_{A}\geq0$ for all positive elements $x\in A$.
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