Sharp spectral estimates for periodic matrix-valued Jacobi operators

preprint2010arXivOpen access

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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Sharp spectral estimates for periodic matrix-valued Jacobi operators

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