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Preservation of the Range under Perturbations of an Operator |
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| Authors: | Branko Curgus Branko Najman |
| Affiliation: | Department of Mathematics, Western Washington University, Bellingham, Washington 98225 ; Department of Mathematics, University of Zagreb, Bijenicka 30, 10000 Zagreb, Croatia |
| 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  of a positive operator in a Krein space. |
| Keywords: | Operator range Krein space definitizable operator critical point |
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