值域中含有紧算子的套表示

Compact operator in range of nest representation

研究了在TAF代数上值域中含有紧算子的套表示,将文章Compact operators and nest representation of limit alge-bras中定理3.2的条件由强极大TAF代数推广到TAF代数,得到了这样的套表示几乎是满射的.

This paper discusses compact operator in range of nest representation of TAF algebra,and generalizes the theorem 3.2 written by Elias Katsoulis and Just R Peters in ＂Compact operators and nest representation of limit algebras＂ from strongly maximal TAF algebra to TAF algebra,and obtains the nest representation is almost surjecton.