Positive Perturbations of Unbounded Operators

J. Dombrowski

doi:10.1090/S0002-9939-1977-0448142-6

Positive Perturbations of Unbounded Operators

J. Dombrowski

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	287-290
Number of pages	4
Journal	Proceedings of the American Mathematical Society
Volume	64
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-1977-0448142-6
State	Published - Jun 1977

ASJC Scopus Subject Areas

General Mathematics
Applied Mathematics

Disciplines

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

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10.1090/S0002-9939-1977-0448142-6

Positive Perturbations of Unbounded OperatorsFinal published version, 127 KBLicense: Unspecified

Cite this

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author = "J. Dombrowski",

year = "1977",

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DO - 10.1090/S0002-9939-1977-0448142-6

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JO - Proceedings of the American Mathematical Society

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Positive Perturbations of Unbounded Operators

Abstract

ASJC Scopus Subject Areas

Disciplines

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