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arXiv · 1910.10710

Location of eigenvalues of non-self-adjoint discrete Dirac operators

Biagio Cassano·Orif O. Ibrogimov·David Krejcirik·Frantisek Stampach
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Abstract

We provide quantitative estimates on the location of eigenvalues of one-dimensional discrete Dirac operators with complex $\ell^p$-potentials for $1\leq p\leq\infty$. As a corollary, subsets of the essential spectrum free of embedded eigenvalues are determined for small $\ell^1$-potential. Further possible improvements and sharpness of the obtained spectral bounds are also discussed.

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Biagio Cassano, Orif O. Ibrogimov, David Krejcirik, Frantisek Stampach. 2019-10-23. Location of eigenvalues of non-self-adjoint discrete Dirac operators. https://doi.org/10.1007/s00023-020-00916-2

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