Operator algebras | Operator theory

Operator system

Given a unital C*-algebra , a *-closed subspace S containing 1 is called an operator system. One can associate to each subspace of a unital C*-algebra an operator system via . The appropriate morphisms between operator systems are completely positive maps. By a theorem of Choi and Effros, operator systems can be characterized as *-vector spaces equipped with an Archimedean matrix order. (Wikipedia).

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Related pages

Completely positive map | Linear subspace | Unital algebra | C*-algebra | Operator space