The reduced minimum modulus of Drazin inverses of linear operators on Hilbert spaces
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- by Chun-Yuan Deng and Hong-Ke Du PDF
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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.References
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Additional Information
- Chun-Yuan Deng
- Affiliation: College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, People’s Republic of China
- Email: cy-deng@263.net
- Hong-Ke Du
- Affiliation: College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, People’s Republic of China
- Email: hkdu@snnu.edu.cn
- Received by editor(s): May 11, 2005
- Received by editor(s) in revised form: May 31, 2005
- Published electronically: May 12, 2006
- Additional Notes: This research was partially supported by the National Natural Science Foundation of China (10571113).
- Communicated by: Joseph A. Ball
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 3309-3317
- MSC (2000): Primary 47A05, 46C07, 15A09
- DOI: https://doi.org/10.1090/S0002-9939-06-08377-8
- MathSciNet review: 2231916