Generalized indefinite strings with purely discrete spectrum
Spectral Theory
2024-11-22 v2
Abstract
We establish criteria for the spectrum of a generalized indefinite string to be purely discrete and to satisfy Schatten-von Neumann properties. The results can be applied to the isospectral problem associated with the conservative Camassa-Holm flow and to Schr\"odinger operators with -interactions.
Keywords
Cite
@article{arxiv.2106.13138,
title = {Generalized indefinite strings with purely discrete spectrum},
author = {Jonathan Eckhardt and Aleksey Kostenko},
journal= {arXiv preprint arXiv:2106.13138},
year = {2024}
}
Comments
This version includes an additional appendix that provides explicit two-sided estimates on Schatten-von Neumann norms that are needed in arXiv:2310.06658