A remark on the discrete spectrum of non-self-adjoint Jacobi operators
Spectral Theory
2021-01-07 v1 Classical Analysis and ODEs
Functional Analysis
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.
Keywords
Cite
@article{arxiv.2101.01974,
title = {A remark on the discrete spectrum of non-self-adjoint Jacobi operators},
author = {Leonid Golinskii},
journal= {arXiv preprint arXiv:2101.01974},
year = {2021}
}
Comments
11 pages in LaTeX