A remark on the discrete spectrum of non-self-adjoint Jacobi operators

Leonid Golinskii

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arXiv · 2101.01974

A remark on the discrete spectrum of non-self-adjoint Jacobi operators

Leonid Golinskii

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Abstract

We study the trace class perturbations of the whole-line, discrete Laplacian and obtain a new bound for the perturbation determinant of the corresponding non-self-adjoint Jacobi operator. Based on this bound, we refine the Lieb--Thirring inequality due to Hansmann--Katriel. The spectral enclosure for such operators is also discussed.

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BibTeX RIS

Leonid Golinskii. 2021-01-06. A remark on the discrete spectrum of non-self-adjoint Jacobi operators. https://arxiv.org/abs/2101.01974

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