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arXiv · 2111.08265

Spectral enclosures and stability for non-self-adjoint discrete Schroedinger operators on the half-line

David Krejcirik·Ari Laptev·Frantisek Stampach
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Abstract

We make a spectral analysis of discrete Schroedinger operators on the half-line, subject to complex Robin-type boundary couplings and complex-valued potentials. First, optimal spectral enclosures are obtained for summable potentials. Second, general smallness conditions on the potentials guaranteeing a spectral stability are established. Third, a general identity which allows to generate optimal discrete Hardy inequalities for the discrete Dirichlet Laplacian on the half-line is proved.

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David Krejcirik, Ari Laptev, Frantisek Stampach. 2021-11-16. Spectral enclosures and stability for non-self-adjoint discrete Schroedinger operators on the half-line. https://arxiv.org/abs/2111.08265

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