On the product of projectors and generalized inverses

  title={On the product of projectors and generalized inverses},
  author={Anja Korporal and G. Regensburger},
  journal={Linear and Multilinear Algebra},
  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


    Publications referenced by this paper.
    Topological Vector Spaces
    • 3,142
    Topological Vector Spaces
    • 757
    Inner, outer, and generalized inverses in banach and hilbert spaces
    • 94
    • PDF
    Solving and factoring boundary problems for linear ordinary differential equations in differential algebras
    • 74
    • PDF
    Elements of Functional Analysis
    • 86
    A Unified Operator Theory of Generalized Inverses
    • 96
    When is B− A− a generalized inverse of AB?☆
    • 56
    The reverse order law (AB)− = B−A−
    • 33