Sharp spectral estimates for periodic matrix-valued Jacobi operators

Details Sharp spectral estimates for periodic matrix-valued Jacobi operators Sharp spectral estimates for periodic matrix-valued Jacobi operators

2010-07-30

arxiv.org/abs/1007.5412v4

Mathematics

Functional Analysis

3 pages

Scientific paper

For the periodic matrix-valued Jacobi operator $J$ we obtain the estimate of
the Lebesgue measure of the spectrum $|\s(J)|\le4 \min_n\Tr(a_na_n^*)^\frac12$,
where $a_n$ are off-diagonal elements of $J$. Moreover estimates of width of
spectral bands are obtained.

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