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9.—On Relatively Bounded Perturbations

Published online by Cambridge University Press:  14 February 2012

K. J. Brown
K. J. Brown
Affiliation:
Department of Mathematics, Heriot-Watt University, Edinburgh.
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Synopsis

In this note it will be proved that any small relatively bounded perturbation of a self-adjoint operator with discrete spectrum also has discrete spectrum.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 71 , Issue 2 , 1973 , pp. 111 - 112
Copyright
Copyright © Royal Society of Edinburgh 1973

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References

References to Literature

Kato, T., 1966. Perturbation Theory for Linear Operators. Berlin: Springer-Verlag.Google Scholar
Maurin, K., 1967. Methods of Hilbert Spaces. Warsaw: Polish Scientific Publishers.Google Scholar