Solutions to The Equation AXA* = B for Hilbert Space Operator

摘要：

The necessary and sufficient conditions for the equation AXA* = Bfor linear bounded operators on Hilbert spaces, to have a hermtian solution, positive and real-positive solution are given respectively. The general expressions of the special solutions are also derived when the solvability conditions are satisfied.

关键词： Operator equation General Solution Inner inverse

作者: Chang-Zhou Dong Qing-Wen Wang Guang-jing Song

作者单位: Department of Mathematics, Shanghai University, 99 Shangda Road, Shanghai 200444, P.R.China

会议类型: 国际会议

会议名称: The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)

会议地点: 杭州

会议语种:英文

页码: 697-701

在线出版日期: 2009-07-09（万方平台首次上网日期，不代表论文的发表时间）