Vol. 68, No. 1, 1977

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 332: 1
Vol. 331: 1  2
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 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 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
A perturbation theorem for spectral operators

Dieter Lutz

Vol. 68 (1977), No. 1, 127–134
Abstract

This note is concerned with analytic perturbations of spectral operators. It is shown that under small perturbations simple isolated eigenvalues remain simple and isolated and depend holomorphically upon the perturbation parameter. As one would expect the bounds are rather complicated in the case of a spectral operator with general quasinilpotent part. For scalar operators, however, these bounds become simple and reproduce in the selfadjoint case those given by F. W. Schäfke.

Mathematical Subject Classification 2000
Primary: 47B40
Secondary: 47A55
Milestones
Received: 5 May 1976
Published: 1 January 1977
Authors
Dieter Lutz