吉林大学学报（理学版）2012，Vol.50Issue(3)：404-408,5.
一类算子方程的解
Solutions to a Class of Operator Equation
摘要
Abstract
With the help of block operator matrix, the sufficient and necessary conditions for the existence of solutions to the operator equation AXB" +BX' A' =C and the representation of solutions were established. Especially, when B is an orthogonal projection P, the sufficient and necessary conditions for the existence of solutions to the operator equation AXP +PX' A ' = C and the representation of solutions were also given.关键词
算子方程/Moore-Penrose逆/算子矩阵/正交投影Key words
operator equation/ Moore-Penrose inverse/ operator matrix/ orthogonal projection分类
数理科学引用本文复制引用
许俊莲,杜鸿科..一类算子方程的解[J].吉林大学学报（理学版）,2012,50(3):404-408,5.基金项目
国家自然科学基金(批准号:11001159)和陕西省宝鸡文理学院重点科研项目(批准号:ZK11132). （批准号:11001159）
