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math.FA2022
Half-line compressions and finite sections of discrete Schrödinger operators with integer-valued potentials
Marko Lindner, Riko Ukena
We study 1D discrete Schrödinger operators with integer-valued potential and show that, , invertibility (in fact, even just Fredholmness) of always implies invertibili…
math.SP2022
Spectral approximation of generalized Schrödinger operators via approximation of subwords
Fabian Gabel, Dennis Gallaun, Julian Großmann +2
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 ge…
math.FA2022
A note on Hausdorff-convergence of pseudospectra
Marko Lindner, Dennis Schmeckpeper
For a bounded linear operator on a Banach space, we study approximation of the spectrum and pseudospectra in the Hausdorff distance. We give sufficient and necessary conditions in…