数学物理学报 ›› 2010, Vol. 30 ›› Issue (4): 915-921.

• 论文 • 上一篇    下一篇

Hilbert 空间上算子W-加权Drazin 逆的刻画及表示

钟金1, 刘晓冀2   

  1. 1.华东师范大学 数学系, 上海 200241|2.广西民族大学数学与计算机科学学院, 南宁 530006
  • 收稿日期:2009-03-27 修回日期:2010-04-19 出版日期:2010-07-25 发布日期:2010-07-25
  • 基金资助:

    广西自然科学基金(0640016)资助

The Characterization and Representation of the W-weighted Drazin Inverse of Operators on Hilbert Space

 ZHONG Jin1, LIU Xiao-Ji2   

  1. 1.Department of Mathematics, East China Normal University, Shanghai 200241;
    2.College of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning 530006
  • Received:2009-03-27 Revised:2010-04-19 Online:2010-07-25 Published:2010-07-25
  • Supported by:

    广西自然科学基金(0640016)资助

摘要:

该文研究了Hilbert 空间上线性算子的$W$-加权Drazin 逆, 利用算子的分块矩阵表示, 给出了W- 加权 Drazin 逆的刻画及表示, 所获结果推广了魏益民等的相关结果.

关键词: 线性算子, Hilbert 空间, W- 加权Drazin 逆, 分块表示.

Abstract:

In this work the authors study the W-weighted Drazin inverse of operators on Hilbert space. By utilizing the matrix block representation of Hilbert space operators, some characterizations and representations of the W-weighted Drazin inverse are presented, which extend the corresponding results by Wei Y M.

Key words: Linear operators, Hilbert space, W-weighted Drazin inverse, Block representation

中图分类号: 

  • 47A05