On the instability of the essential spectrum for block Jacobi matrices
Mathematical Physics
2017-09-19 v1 math.MP
Abstract
We are interested in the phenomenon of the essential spectrum instability for a class of unbounded (block) Jacobi matrices. We give a series of sufficient conditions for the matrices from certain classes to have a discrete spectrum on a half-axis of a real line. An extensive list of examples showing the sharpness of obtained results is provided.
Keywords
Cite
@article{arxiv.1709.05726,
title = {On the instability of the essential spectrum for block Jacobi matrices},
author = {Stanislas Kupin and Sergey Naboko},
journal= {arXiv preprint arXiv:1709.05726},
year = {2017}
}
Comments
21 pages