有限秩算子的表示(I)

The representation of finite rank operatior (I)

定义了子空间格代数的 (弱闭双边 )模 ,对有限维 Hilbert空间的强自反子空间格代数的模及原子 Boolean格代数的模中的有限秩算子进行了讨论 ,得到有限秩算子一定可以表示为秩

The finite rank operator in the weakly closed modules of the algebra of subspace lattice is studied,we obtain every operator of finite rank in the modules of the algebra of the subspace lattices can be written as a finite sum of operator of rank one each belonging to the modules.