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The reduced minimum modulus of Drazin inverses of linear operators on Hilbert spaces |
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| Authors: | Chun-Yuan Deng Hong-Ke Du |
| Institution: | College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, People's Republic of China ; College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, People's Republic of China |
| 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. |
| Keywords: | Drazin inverse reduced minimum modulus gap between two subspaces |
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