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Proceedings of the American Mathematical Society

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Positive perturbations of unbounded operators


Author: J. Dombrowski
Journal: Proc. Amer. Math. Soc. 64 (1977), 287-290
MSC: Primary 47B25; Secondary 47A55
DOI: https://doi.org/10.1090/S0002-9939-1977-0448142-6
MathSciNet review: 0448142
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Abstract: This work studies the spectral properties of certain unbounded selfadjoint operators by considering positive perturbations of such operators and the unitary equivalence of the perturbed and unperturbed transformations. Conditions are obtained on the unitary operators implementing this equivalence which guarantee that the selfadjoint operators have an absolutely continuous part.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1977-0448142-6
Article copyright: © Copyright 1977 American Mathematical Society