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arXiv · 2209.11613

Spectral approximation of generalized Schr\"odinger operators via approximation of subwords

Fabian Gabel·Dennis Gallaun·Julian Großmann·Marko Lindner·Riko Ukena
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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.

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Fabian Gabel, Dennis Gallaun, Julian Großmann, Marko Lindner, Riko Ukena. 2022-09-23. Spectral approximation of generalized Schr\"odinger operators via approximation of subwords. https://arxiv.org/abs/2209.11613

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