Spectral approximation of generalized Schr\"odinger operators via approximation of subwords
Spectral Theory
2023-01-20 v2 Mathematical Physics
math.MP
Abstract
We demonstrate criteria, purely based on finite subwords of the potential, to guarantee spectral inclusion as well as Hausdorff approximation of pseudospectra or even spectra of generalized Schr\"odinger operators on the discrete line or half-line. In fact, our results are neither limited to Schr\"odinger or self-adjoint operators, nor to Hilbert space or 1D.
Keywords
Cite
@article{arxiv.2209.11613,
title = {Spectral approximation of generalized Schr\"odinger operators via approximation of subwords},
author = {Fabian Gabel and Dennis Gallaun and Julian Großmann and Marko Lindner and Riko Ukena},
journal= {arXiv preprint arXiv:2209.11613},
year = {2023}
}