一类由无穷维矩阵定义算子的预解算子  

The Resolvent Operator of a Operator by Definition of Infinite Dimension Matrix

作　　者：刘宇民[1] 原文志[1] 

机构地区：[1]太原师范学院数学系,山西太原030012

出　　处：《太原师范学院学报（自然科学版）》2014年第2期1-3,共3页Journal of Taiyuan Normal University:Natural Science Edition

基　　金：山西省教育厅高校科技开发项目(20121020)

摘　　要：研究在无穷维线性空间中由无穷矩阵定义的一类算子的预解算子,虽然这类矩阵不可以用有限维矩阵的方法处理,但通过无穷级数收敛的必要条件可算得其预解算子矩阵元素的递推公式,从而给出其可逆的条件,并给出预解算子一个直观的矩阵表示.To study a operator＇s resolvent operator defined by the infinite matrix in the infinite dimensional linear space.although this kind of matrix may not in limited dimension matrix approach,but through the infinite series convergence of necessary conditions can calculate the recursive formula of the matrix element of resolvent operator,which gives the reversible conditions,and give resolvent operators an intuitive matrix said.

关 键 词：无穷维矩阵 预解算子 可逆 无穷级数 

分 类 号：O177.29[理学—数学]