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arxiv: 0911.1586 · v2 · submitted 2009-11-09 · 🧮 math.SP

Equivalence classes of block Jacobi matrices

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keywords jacobimatricesblockclassescoefficientsequivalencetypeasymptotic
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The paper contains two results on the equivalence classes of block Jacobi matrices: first, that the Jacobi matrix of type 2 in the Nevai class has A_n coefficients converging to 1, and second, that under an L1-type condition on the Jacobi coefficients, equivalent Jacobi matrices of type 1, 2 and 3 are pairwise asymptotic.

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