Perturbation determinants and discrete spectra of semi-infinite non-self-adjoint Jacobi operators
Spectral Theory
2021-08-11 v2 Functional Analysis
Abstract
We study the trace class perturbations of the half-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 obtain the Lieb--Thirring inequalities for such operators. The spectral enclosure for the discrete spectrum and embedded eigenvalues are also discussed.
Keywords
Cite
@article{arxiv.2101.05562,
title = {Perturbation determinants and discrete spectra of semi-infinite non-self-adjoint Jacobi operators},
author = {Leonid Golinskii},
journal= {arXiv preprint arXiv:2101.05562},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:2101.01974