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Calcolo

, Volume 53, Issue 3, pp 331–341 | Cite as

Characterizations of DMP inverse in a Hilbert space

  • Anqi Yu
  • Chunyuan DengEmail author
Article

Abstract

Let \(\mathcal {H}\) be a Hilbert space. The recently introduced notions of the DMP inverse are extended from matrices to operators. The group, Moore–Penrose, Drazin inverses are integrated by DMP inverse and many closely equivalent relations among these inverses are investigated by using appropriate idempotents. Some new properties of DMP inverse are obtained and some known results are generalized.

Keywords

DMP inverse Drazin inverse MP inverse Idempotent 

Mathematics Subject Classification

15A09 47A05 

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Copyright information

© Springer-Verlag Italia 2015

Authors and Affiliations

  1. 1.School of Mathematics ScienceSouth China Normal UniversityGuangzhouPeople’s Republic of China

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