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The reduced minimum modulus of Drazin inverses of linear operators on Hilbert spaces
Authors:
Chun-Yuan Deng and Hong-Ke Du
Journal:
Proc. Amer. Math. Soc. 134 (2006), 3309-3317
MSC (2000):
Primary 47A05, 46C07, 15A09
Posted:
May 12, 2006
MathSciNet review:
2231916
Full-text PDF Free Access
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Additional Information
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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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
DOI:
http://dx.doi.org/10.1090/S0002-9939-06-08377-8
PII:
S 0002-9939(06)08377-8
Keywords:
Drazin inverse,
reduced minimum modulus,
gap between two subspaces
Received by editor(s):
May 11, 2005
Received by editor(s) in revised form:
May 31, 2005
Posted:
May 12, 2006
Additional Notes:
This research was partially supported by the National Natural Science Foundation of China (10571113).
Communicated by:
Joseph A. Ball
Article copyright:
© Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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