Document Type
Article
Publication Date
9-2000
Keywords
definitizable operator
Abstract
We give an example of a positive operator B in a Krein space with the following properties: the nonzero spectrum of B consists of isolated simple eigenvalues, the norms of the orthogonal spectral projections in the Krein space onto the eigenspaces of B are uniformly bounded and the point ∞ is a singular critical point of B.
Publication Title
Proceedings of the American Mathematical Society
Volume
128
Issue
9
First Page
2621
Last Page
2626
Required Publisher's Statement
First published in "Proceedings of the American Mathematical Society" in 2000, published by the American Mathematical Society.
Recommended Citation
Ćurgus, Branko; Gheondea, Aurelian; and Langer, H., "On Singular Critical Points of Positive Operators in Krein Spaces" (2000). Mathematics Faculty Publications. 8.
https://cedar.wwu.edu/math_facpubs/8
Subjects - Topical (LCSH)
Kreĭn spaces; Critical point theory (Mathematical analysis); Positive operators
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 David R. Larson