Some characters of compact operators in closed range
Tan Bing · Journal of Nanyang Normal University · 2009
This paper discusses the relationships of compact operator and rank one operator,and generalizes the theorem 3.7 and the theorem 3.9 in [1] from strongly maximal TAF algebra to TAF algebra,and obtains compact operator can be expressed by the sum of finite rank one operators. We can get the compact operator set is a close ideal of some nest algebra.