Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (4): 915-921.

• Articles • Previous Articles     Next Articles

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

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

CLC Number: 

  • 47A05
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