Hundertmark, Dirk and Simon, Barry (2008) Eigenvalue bounds in the gaps of Schrödinger operators and Jacobi matrices. Journal of Mathematical Analysis and Applictions, 340 (2). pp. 892-900. ISSN 0022-247X. doi:10.1016/j.jmaa.2007.08.059. https://resolver.caltech.edu/CaltechAUTHORS:20091014-110720129
![[img]](https://authors.library.caltech.edu/style/images/fileicons/application_pdf.png) |
PDF
- Submitted Version
See Usage Policy. 186kB |
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20091014-110720129
Abstract
We consider C = A + B where A is selfadjoint with a gap (a, b) in its spectrum and B is (relatively) compact. We prove a general result allowing B of indefinite sign and apply it to obtain a (δV)^(d/2) bound for perturbations of suitable periodic Schrödinger operators and a (not quite) Lieb–Thirring bound for perturbations of algebro-geometric almost periodic Jacobi matrices.
| Item Type: | Article | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Related URLs: |
| |||||||||
| ORCID: |
| |||||||||
| Additional Information: | © 2007 Elsevier. Received 19 May 2007. Available online 22 September 2007. Submitted by Goong Chen. | |||||||||
| Subject Keywords: | Eigenvalue bounds; Jacobi matrices; Schrödinger operators | |||||||||
| Issue or Number: | 2 | |||||||||
| Classification Code: | Mathematics Subject Classification. 47B36, 81Q10, 35P15 | |||||||||
| DOI: | 10.1016/j.jmaa.2007.08.059 | |||||||||
| Record Number: | CaltechAUTHORS:20091014-110720129 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20091014-110720129 | |||||||||
| Official Citation: | Dirk Hundertmark, Barry Simon, Eigenvalue bounds in the gaps of Schrodinger operators and Jacobi matrices, Journal of Mathematical Analysis and Applications, Volume 340, Issue 2, 15 April 2008, Pages 892-900, ISSN 0022-247X, DOI: 10.1016/j.jmaa.2007.08.059. | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 16346 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Joy Painter | |||||||||
| Deposited On: | 26 Oct 2009 19:04 | |||||||||
| Last Modified: | 08 Nov 2021 23:26 |
Repository Staff Only: item control page
