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We define and study left and right generalized Drazin inverses for a closed densely defined linear operator in a Hilbert space. These operators are characterized by means of the generalized… Click to show full abstract
We define and study left and right generalized Drazin inverses for a closed densely defined linear operator in a Hilbert space. These operators are characterized by means of the generalized Kato decomposition and the single-valued extension property. We prove that they are invariant under commuting quasinilpotent perturbations. Finally, we give an application to solve singular linear equations.
Keywords:
left right;
right generalized;
inverses closed;
generalized drazin;
drazin inverses;
singular linear
Journal Title: Rocky Mountain Journal of Mathematics
Year Published: 2021
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Journal Title: Rocky Mountain Journal of Mathematics
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!