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operator system : ウィキペディア英語版 | 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.〔Choi M.D., Effros, E.G. Injectivity and operator spaces. Journal of Functional Analysis 1977〕 ==References==
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