Spectral Bounds for Polydiagonal Jacobi Matrix Operators
Functional Analysis
2013-12-09 v1
Abstract
The research on spectral inequalities for discrete Schrodinger Operators has proved fruitful in the last decade. Indeed, several authors analysed the operator's canonical relation to a tridiagonal Jacobi matrix operator. In this paper, we consider a generalisation of this relation with regards to connecting higher order Schrodinger-type operators with symmetric matrix operators with arbitrarily many non-zero diagonals above and below the main diagonal. We thus obtain spectral bounds for such matrices, similar in nature to the Lieb{Thirring inequalities.
Cite
@article{arxiv.1312.1901,
title = {Spectral Bounds for Polydiagonal Jacobi Matrix Operators},
author = {Arman Sahovic},
journal= {arXiv preprint arXiv:1312.1901},
year = {2013}
}