On the product of projectors and generalized inverses

@article{Korporal2013OnTP,
  title={On the product of projectors and generalized inverses},
  author={Anja Korporal and G. Regensburger},
  journal={Linear and Multilinear Algebra},
  year={2013},
  volume={62},
  pages={1567 - 1582}
}
  • Anja Korporal, G. Regensburger
  • Published 2013
  • Mathematics
  • Linear and Multilinear Algebra
  • We consider generalized inverses of linear operators on arbitrary vector spaces and study the question when their product in reverse order is again a generalized inverse. This problem is equivalent to the question when the product of two projectors is again a projector, and we discuss necessary and sufficient conditions in terms of their kernels and images alone. We give a new representation of the product of generalized inverses that does not require explicit knowledge of the factors. Our… CONTINUE READING

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