The reduced minimum modulus of Drazin inverses of linear operators on Hilbert spaces

Deng, Chun-Yuan; Du, Hong-Ke

doi:10.1090/S0002-9939-06-08377-8

The reduced minimum modulus of Drazin inverses of linear operators on Hilbert spaces
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Proc. Amer. Math. Soc. 134 (2006), 3309-3317 Request permission

Abstract:

In this article, we study the reduced minimum modulus of the Drazin inverse of an operator on a Hilbert space and give lower and upper bounds of the reduced minimum modulus of an operator and its Drazin inverse, respectively. Using these results, we obtain a characterization of the continuity of Drazin inverses of operators on a Hilbert space.

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