Definition 34.2.3 (Unitarily Equivalent).label Let $A$ be a unital $C^{*}$-algebra and $x, y \in A$, then $x$ and $y$ are unitarily equivalent if there exists a unitary element $u \in A$ such that $x = uyu^{*}$.
Definition 34.2.3 (Unitarily Equivalent).label Let $A$ be a unital $C^{*}$-algebra and $x, y \in A$, then $x$ and $y$ are unitarily equivalent if there exists a unitary element $u \in A$ such that $x = uyu^{*}$.
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