Positive Perturbations of Unbounded Operators

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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.

Original languageAmerican English
JournalProceedings of the American Mathematical Society
Volume64
DOIs
StatePublished - Jan 1 1977

Disciplines

  • Applied Mathematics
  • Applied Statistics
  • Mathematics
  • Physical Sciences and Mathematics
  • Statistics and Probability

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