算子空间的子空间的具体实现
Concrete realizations of quotients of operator spaces
摘要：
设B是单位C *-代数A的单位C *-子代数，使得A/B是抽象算子空间.我们展示了如何通过从A到希尔伯特空间上的算子代数的完全压缩映射将A/B实现为具体的算子空间，其形式为a映射到[z，a]，其中z是Hermitian酉算子。我们不使用阮氏定理关于具体实现的抽象算子空间。一路上，我们得到了相应的结果，抽象算子空间的形式A/V，其中V是一个封闭的子空间的A，然后为更特殊的情况下，其中V是一个 *-子空间或算子系统。
英文摘要：
Let B be a unital C*-subalgebra of a unital C*-algebra A, so that A/B is an abstract operator space. We show how to realize A/B as a concrete operator space by means of a completely contractive map from A into the algebra of operators on a Hilbert space, of the form a maps to [z, a] where z is a Hermitian unitary operator. We do not use Ruan's theorem concerning concrete realization of abstract operator spaces. Along the way we obtain corresponding results for abstract operator spaces of the form A/V where V is a closed subspace of A, and then for the more special cases in which V is a *-subspace or an operator system.
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