交换子空间格代数的模中秩1算子的性质

The Property of Rank 1 Operator in Modules of the Algebras of Commutative Subspace Lattices

定义了子空间格代数的 (弱闭双边 )模 ,对交换子空间格代数的模中的有限秩算子进行了讨论 ,得到模中含有有限秩算子与含有秩

The objective of this paper is to study the finite rank operator in the weakly closed modules of the algebra of commutative subspace lattice. The results show that the operators of finite rank contained in the modules and the rank 1 operator are equivalent.\;