Hermitian and Real-positive solutions to the equations az=c and zb=d in C*-algebras

摘要：

In this paper, equations ax = c and xb = d in C*-algebras are considered. Necessary and sufficient conditions for the existence of hermitian and real-positive solutions are obtained. Formulae for the general forms of these solutions are presented. In addition, we also discuss the common solutions to the equations ax = c and xb = d.

关键词： C* -algebra real-positive solution regular Moore-Penrose inverse Hermitian solution

作者: Chunmei Hu Xiaoji Liu

作者单位: College of Mathematics and Computer Science, Guangxi University for Nationalities, Guangxi Nanning 530006

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: 105-107

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）