Preservation of the range under perturbations of an operator
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- by Branko Ćurgus and Branko Najman PDF
- Proc. Amer. Math. Soc. 125 (1997), 2627-2631 Request permission
Abstract:
A sufficient condition for the stability of the range of a positive operator in a Hilbert space is given. As a consequence, we get a class of additive perturbations which preserve regularity of the critical point $0$ of a positive operator in a Krein space.References
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Additional Information
- Branko Ćurgus
- Affiliation: Department of Mathematics, Western Washington University, Bellingham, Washington 98225
- Email: curgus@cc.wwu.edu
- Branko Najman
- Affiliation: Department of Mathematics, University of Zagreb, Bijenička 30, 10000 Zagreb, Croatia
- Email: najman@cromath.math.hr
- Received by editor(s): October 2, 1995
- Received by editor(s) in revised form: March 18, 1996
- Additional Notes: Professor Najman died in August 1996.
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 2627-2631
- MSC (1991): Primary 47B50, 47B25; Secondary 46C20
- DOI: https://doi.org/10.1090/S0002-9939-97-03840-9
- MathSciNet review: 1389513