Document Type
Article
Publication Date
9-1997
Keywords
Operator range, definitizable operator, critical point
Abstract
A sufficient condition for the stability of the range of a positive operator in a Hilbert space is given. As a consequence, we get a class of additive perturbations which preserve regularity of the critical point 0 of a positive operator in a Krein space.
Publication Title
Proceedings of the American Mathematical Society
Volume
125
Issue
9
First Page
2627
Last Page
2631
Required Publisher's Statement
First published in "Proceedings of the American Mathematical Society" in 1997, published by the American Mathematical Society.
Recommended Citation
Ćurgus, Branko and Najman, Branko, "Preservation of the Range Under Perturbations of an Operator" (1997). Mathematics Faculty Publications. 11.
https://cedar.wwu.edu/math_facpubs/11
Subjects - Topical (LCSH)
Kreĭn spaces; Critical point theory (Mathematical analysis); Positive operators; Stochastic partial differential equations
Genre/Form
articles
Type
Text
Rights
Copying of this document in whole or in part is allowable only for scholarly purposes. It is understood, however, that any copying or publication of this document for commercial purposes, or for financial gain, shall not be allowed without the author’s written permission.
Language
English
Format
application/pdf
Comments
Communicated by Palle E. T. Jorgensen