Abstract
We prove weak and vague convergence results for spectral shift functions associated with self-adjoint one-dimensional Schrödinger operators on intervals of the form $(-\ell,\ell)$ to the full-line spectral shift function in the limit $\ell\to \infty$ for a class of coupled boundary conditions. The boundary conditions considered here include periodic boundary conditions as a special case.
Key words: Coupled boundary conditions, Schrödinger operator, spectral shift function, vague convergence, weak convergence.
Full Text
Article Information
| Title | Weak and vague convergence of spectral shift functions of one-dimensional Schrödinger operators with coupled boundary conditions |
| Source | Methods Funct. Anal. Topology, Vol. 23 (2017), no. 4, 378-403 |
| MathSciNet |
MR3745188 |
| Milestones | Received 07/04/2017 |
| Copyright | The Author(s) 2017 (CC BY-SA) |
Authors Information
John Murphy
Mathematics Department, The University of Tennessee at Chattanooga, 415 EMCS Building, Dept. 6956, 615 McCallie Ave, Chattanooga, TN 37403, USA
Roger Nichols
Mathematics Department, The University of Tennessee at Chattanooga, 415 EMCS Building, Dept. 6956, 615 McCallie Ave, Chattanooga, TN 37403, USA
Citation Example
John Murphy and Roger Nichols, Weak and vague convergence of spectral shift functions of one-dimensional Schrödinger operators with coupled boundary conditions, Methods Funct. Anal. Topology 23
(2017), no. 4, 378-403.
BibTex
@article {MFAT1005,
AUTHOR = {John Murphy and Roger Nichols},
TITLE = {Weak and vague convergence of spectral shift functions of one-dimensional Schrödinger operators with coupled boundary conditions},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {23},
YEAR = {2017},
NUMBER = {4},
PAGES = {378-403},
ISSN = {1029-3531},
MRNUMBER = {MR3745188},
URL = {http://mfat.imath.kiev.ua/article/?id=1005},
}
