Equivalent Representation of the Moore-Penrose Metric Generalized Inverse of Linear Opeartor

摘要：

Without the geometry assumptions on Banach spaces, by means of the geometry of Banach space, existence, uniqueness and the equivalent representation of the Moore-Penrose metric generalized inverse are established. These indeed extended and improved the corresponding results obtained recently by Hudzik, Wang and Zheng, under the assumption that Banach spaces X ,Y are reflexive, Y is also a strictly convex and T is a densely defined close linear operator with the closed range from X to Y.

关键词： equivalent representation Moore-Penrose metric generalized inverse generalized orthogonal decomposition normalized duality mapping

作者: Renxing Ni

作者单位: Department of Mathematics, Shaoxing University, Zhejiang 312000, 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: 878-881

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）