About essential spectra of unbounded Jacobi matrices
Spectral Theory
2022-04-08 v1
Abstract
We study spectral properties of unbounded Jacobi matrices with periodically modulated or blended entries. Our approach is based on uniform asymptotic analysis of generalized eigenvectors. We determine when the studied operators are self-adjoint. We identify regions where the point spectrum has no accumulation points. This allows us to completely describe the essential spectrum of these operators.
Keywords
Cite
@article{arxiv.2006.07959,
title = {About essential spectra of unbounded Jacobi matrices},
author = {Grzegorz Świderski and Bartosz Trojan},
journal= {arXiv preprint arXiv:2006.07959},
year = {2022}
}
Comments
40 pages