Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-17T23:16:22.896Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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