Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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GROUP INVERSE AND GENERALIZED DRAZIN INVERSE OF BLOCK MATRICES IN A BANACH ALGEBRA

  • Mosic, Dijana (Faculty of Sciences and Mathematics University of Nis)
  • Received : 2013.04.02
  • Published : 2014.05.31
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Abstract

Necessary and sufficient conditions for the existence of the group inverse of an anti-triangular block matrix in Banach algebras are presented. Using these results, we give the formulae for the generalized Drazin inverse of a block matrix.

Keywords

References

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  1. Representations for generalized Drazin inverse of operator matrices over a Banach space vol.40, pp.13036149, 2016, https://doi.org/10.3906/mat-1502-27