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Operator system

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Given a unital C*-algebra ${\mathcal {A}}$ a *-closed subspace^{[disambiguation needed]} S containing 1 is called an operator system. One can associate to each subspace ${\mathcal {M}}\subseteq {\mathcal {A}}$ of a unital C*-algebra an operator system via $S:={\mathcal {M}}+{\mathcal {M}}^{*}+\mathbb {C} 1$ .

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