Vol. 31, No. 1, 1969

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Vol. 323: 1  2
Vol. 322: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
A generalization of the Weinstein-Aronszajn formula

Richard Hindman Bouldin

Vol. 31 (1969), No. 1, 9–18
Abstract

This paper uses a technique of abstract spectral theory to reduce the study of certain eigenvalues, which are not necessarily isolated, to the case of isolated eigenvalues. By this method the Weinstein-Aronszajn formula for the change in multiplicity of an isolated eigenvalue of a self adjoint operator under a finite dimensional perturbation is extended. The hypotheses of this generalization are studied in the abstract and also by demonstrative example.

Mathematical Subject Classification
Primary: 47.48
Milestones
Published: 1 October 1969
Authors
Richard Hindman Bouldin