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Preservation of the range under perturbations of an operator
- Source :
- Proceedings of the American Mathematical Society. 125:2627-2631
- Publication Year :
- 1997
- Publisher :
- American Mathematical Society (AMS), 1997.
-
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.
Details
- ISSN :
- 10886826 and 00029939
- Volume :
- 125
- Database :
- OpenAIRE
- Journal :
- Proceedings of the American Mathematical Society
- Accession number :
- edsair.doi...........2b2949130b5867690379a7c9c9df9a80
- Full Text :
- https://doi.org/10.1090/s0002-9939-97-03840-9