Sharp spectral estimates for periodic matrix-valued Jacobi operators - Mathematics > Functional Analysis

Abstract: For the periodic matrix-valued Jacobi operator $J$ we obtain the estimate ofthe Lebesgue measure of the spectrum $|\sJ|\le4 \min n\Tra na n^*^\frac12$,where $a n$ are off-diagonal elements of $J$. Moreover estimates of width ofspectral bands are obtained.

Author: Anton A. Kutsenko

Source: https://arxiv.org/