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The spectrum of a periodic Jacobi matrix is a system of intervals of a very specific nature

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Abstract Benjamin Eichinger

D. Damanik, R. Killip and B. Simon completely described the spectral properties of Jacobi matricesJ+, which are in a sence`2 perturbations of the isospectral torus of periodic Jacobi matrices. The spectrum of a periodic Jacobi matrix is a system of intervals of a very specific nature. In our paper “Killip-Simon problem and Jacobi flow on GMP matrices” we generalize this result to the finite system of intervals case.

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