A new characterization of the generalized inverse using projections on level sets

Abstract

© 2018 Elsevier Inc. We give a new characterization of the Moore–Penrose generalized inverse using projections on level sets. Our results may be used to obtain explicit approximations to metric projections on level sets. We illustrate our results in the setting of frames and annihilating subspaces.

Source or Periodical Title

Journal of Approximation Theory

ISSN

219045

Page

23-35

Document Type

Article

Subject

Approximation of metric projections on level sets, Hilbert spaces, Inversion of frame operator, Inversion of positive self-adjoint operators, Moore–Penrose generalized inverse, Strongly annihilating subspaces

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