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Spectral approximation of generalized Schrödinger Operators via approximation of subwords
Citation Link: https://doi.org/10.15480/882.8912
Publikationstyp
Journal Article
Date Issued
2024-01
Sprache
English
Author(s)
Gabel, Fabian Nuraddin Alexander
TORE-DOI
Volume
18
Issue
1
Article Number
7
Citation
Complex Analysis and Operator Theory 18 (1): 7 (2024-01)
Publisher DOI
Scopus ID
Publisher
Springer
We prove criteria, purely based on finite subwords of the potential, for spectral inclusion as well as Hausdorff approximation of pseudospectra or even spectra of generalized Schrödinger operators on the discrete line or half-line. In fact, our results are neither limited to Schrödinger or self-adjoint operators, nor to Hilbert space or 1D: By employing localized lower norms, we strongly generalize known results from the self-adjoint case to much more general and non-normal situations, including various configurations of Hamiltonians and further non-self-adjoint models with aperiodic or pseudoergodic potentials, even models with multiple varying diagonals and entries in a Banach space.
Subjects
Non-self-adjoint Schrödinger operators
Pseudospectra
Spectrum
DDC Class
510: Mathematics
Publication version
publishedVersion
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Name
s11785-023-01448-3.pdf
Type
Main Article
Size
4.1 MB
Format
Adobe PDF