Eigenvalue Estimates for Operators with Finitely Many Negative Squares
| Author | : Jussi Behrndt |
| Publisher | : |
| Total Pages | : |
| Release | : 2016 |
| ISBN-10 | : OCLC:949929169 |
| ISBN-13 | : |
| Rating | : 4/5 ( Downloads) |
Book Synopsis Eigenvalue Estimates for Operators with Finitely Many Negative Squares by : Jussi Behrndt
Download or read book Eigenvalue Estimates for Operators with Finitely Many Negative Squares written by Jussi Behrndt and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Let A and B be selfadjoint operators in a Krein space. Assume that the re- solvent difference of A and B is of rank one and that the spectrum of A consists in some interval I of isolated eigenvalues only. In the case that A is an operator with finitely many negative squares we prove sharp estimates on the number of eigenvalues of B in the interval I. The general results are applied to singular indefinite Sturm-Liouville problems.