AF-算子空间

摘要

The uniqueness theorem of the direct limit of operator spaces is obtained.For an AF-operator space,its closed subspace and the corresponding quotient space are both AF-operator spaces.If V and W are AF-operator spaces,then V∧W and V∨W are AF-operator spaces,too.%得到了算子空间的直接极限的唯一性定理。对于一个 AF-算子空间，证明了其闭子空间及相应的商空间都是 AF-算子空间。若V和W都是 AF-算子空间，还证明了：V∧W和V∨W也是 AF-算子空间。