Stinespring dilations says if one has unital Completely Positive map $\Phi$ from a C-star algebra $A$ to $B(H)$, then there exist a Hilbert space $K$ where $A$ can be represented, say $\pi: A \rightarrow B(K)$ a $\ast$ homomorphism, such that $\Phi(a)=V^{\ast}\pi(a)V$, where $V:H \rightarrow K$ is bounded operator. Can anyone give various examples of Stinespring dilations? I want to understand the statement using examples. In particular, what is it if applied to matrices, commutative or other situations?
2026-04-11 16:49:10.1775926150
A question on Stinespring dilation
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