On the boundary of the numerical range of some Jacobi operators
Spectral Theory
2020-04-23 v2
Abstract
In this paper, we study the numerical range of Jacobi operators and it is shown that under certain conditions, the boundary of the numerical range of these operators can be non-round only at the points where it touches the essential spectrum. It is further shown that these points cannot be the eigenvalue of the Jacobi operators.
Cite
@article{arxiv.1606.05996,
title = {On the boundary of the numerical range of some Jacobi operators},
author = {R. Birbonshi and A. Patra and P. D. Srivastava},
journal= {arXiv preprint arXiv:1606.05996},
year = {2020}
}
Comments
This paper has been withdrawn by the author due to a error in a result