Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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WEIGHTED GDMP INVERSE OF OPERATORS BETWEEN HILBERT SPACES

  • Mosic, Dijana (Faculty of Sciences and Mathematics University of Nis)
  • Received : 2017.08.30
  • Accepted : 2018.03.27
  • Published : 2018.07.31
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Abstract

We introduce new generalized inverses (named the WgDMP inverse and dual WgDMP inverse) for a bounded linear operator between two Hilbert spaces, using its Wg-Drazin inverse and its Moore-Penrose inverse. Some new properties of WgDMP inverse and dual WgDMP inverse are obtained and some known results are generalized.

Keywords

Acknowledgement

Supported by : Ministry of Science, Republic of Serbia

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