Sharp spectral estimates for periodic matrix-valued Jacobi operators
Functional Analysis
2010-11-22 v4 Mathematical Physics
math.MP
Spectral Theory
Abstract
For the periodic matrix-valued Jacobi operator we obtain the estimate of the Lebesgue measure of the spectrum , where are off-diagonal elements of . Moreover estimates of width of spectral bands are obtained.
Cite
@article{arxiv.1007.5412,
title = {Sharp spectral estimates for periodic matrix-valued Jacobi operators},
author = {Anton A. Kutsenko},
journal= {arXiv preprint arXiv:1007.5412},
year = {2010}
}
Comments
3 pages