Sharp spectral estimates for periodic matrix-valued Jacobi operators - Mathematics > Functional AnalysisReport as inadecuate




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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/



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