Ezplicit Solution of an Operator Equation

摘要：

We in this paper investigate the equation AX* + XA* =B for linear bounded operators on Hilbert spaces, where X is the unknown operator. The general solution is expressed in terms of the Moore-Penrose inverse of the operator A. This generalizes the results of D.S.Djordjevi(c) Explicit solution of the operator equation A*X +X*A = B, J. Comput. Appl. Math., 200(2007), 701-704.

关键词： Operator equation Ezplicit Solution Moore-Penrose inverse

作者: Chang-Zhou Dong Qing-Wen Wang Yan-Xi Li

作者单位: Department of Mathematics, Shanghai University 99 Shangda Road, Shanghai 200444, P.R.China Mathematics and Information Sciences, Weifang University, 261061, 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: 375-378

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）