Document Type

Article

Publication Date

1977

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.

Comments

First published in Proceedings of the American Mathematical Society 64.2 (1977), published by the American Mathematical Society.

DOI

10.2307/2041444


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