Dilations, inclusions of matrix convex sets, and completely positive maps

Kenneth R. Davidson, Adam Dor-On, Orr Shalit +1

A matrix convex set is a set of the form $\mathcal{S}={\cup }_{n\ge 1}{\mathcal{S}}_n$ (where each ${\mathcal{S}}_n$ is a set of $d$-tuples of $n\times n$ matrices) that is invariant…