有限秩算子的对偶空间

The Dual Space of Finite Rank Operator

对偶空间问题是算子空间理论中的一类重要问题,主要研究有限秩算子的对偶空间.采用泛函分析中的基本方法,得到有限秩算子空间在被赋予迹范数时其对偶空间是B(H)以及有限秩算子空间在被赋予算子范数时其对偶空间是迹类算子空间.

l： The problem of dual space is important in the theory of operator space.In this paper,the authors discuss the dual space of finite rank operator.In this paper,the authors use the basal method of functional analysis.Result is the dual space of the finite rank operator with trace norm,and the space of trace class operator is the dual space of the finite rank operator with general norm.