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Operator system

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

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Operator system

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Avg. degree1.67
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operator unital subspace -algebra displaystyle mathcal system systems given -closed containing called one associate subseteq via mathbb appropriate morphisms completely

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