论文标题
边界表示和矩形高量
Boundary Representations and Rectangular Hyperrigidity
论文作者
论文摘要
我们探索了操作员空间边界表示之间的连接与关联的Paulsen系统的连接之间。使用有限表示的概念和我们引入的分离属性,表征了操作员空间的边界表示。我们还为操作员空间引入了弱边界。此处介绍的操作员空间的矩形超算力用于在有限尺寸的操作员空间中建立萨斯金定理的类似物。
We explore connections between boundary representations of operator spaces and those of the associated Paulsen systems. Using the notions of finite representation and separating property which we introduced, boundary representations for operator spaces is characterised. We also introduce weak boundary for operator spaces. Rectangular hyperrigidity of operator spaces introduced here is used to establish an analogue of Saskin's theorem in the setting of operator spaces in finite dimensions.