Proposition 41.4.3.label Let $A$ be a $C^{*}$-algebra, $S, T \subset A$ be operator systems, and $\phi: S \to T$. If there exists $x \in A$ such that $\phi(s) = x\phi(s)x^{*}$ for all $s \in S$, then $\phi$ is completely positive.
Proposition 41.4.3.label Let $A$ be a $C^{*}$-algebra, $S, T \subset A$ be operator systems, and $\phi: S \to T$. If there exists $x \in A$ such that $\phi(s) = x\phi(s)x^{*}$ for all $s \in S$, then $\phi$ is completely positive.
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