Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (3): 729-736.

• Articles • Previous Articles     Next Articles

Representation of Bounded Linear Operators with Equal Spectral Projections at Zero

 ZHANG Yun, CHEN Dong-Jun, XIE Yong-Sheng   

  1. School of Mathematics, Huaibei Normal University, Anhui Huaibei 235000
  • Received:2009-07-25 Revised:2010-05-06 Online:2011-06-25 Published:2011-06-25
  • Supported by:

    安徽省优秀青年人才基金(2011SQRL070)、安徽省教育厅自然科学研究计划(2006KJ256B)和淮北师范大学2009年度校青年科研项目(700277)资助

Abstract:

In this paper, the authors  give the representation of all Drazin invertible operator B which shares the spectral projections at 0 with a given Drazin invertible operator A. Meanwhile, some related results for EP operators with closed range are  obtained.

Key words: Drazin inverse, Spectral projection, Equation of operator

CLC Number: 

  • 47A05
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