Abstract
Selfadjoint Jacobi matrices with matrix entries and invertible blocks on the off-diagonals are considered. For three different classes of these matrices are given conditions which guarantee vanishing of their point spectra. Two of the conditions are extensions of the corresponding ones found by Damanik, Simon and Stolz for Jacobi matrices with scalar entries. The results are illustrated by two simple examples.
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Dedicated to the memory of Béla Sz.-Nagy
Communicated by L. Kérchy
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Janas, J. Criteria for the absence of eigenvalues of Jacobi matrices with matrix entries. ActaSci.Math. 80, 261–273 (2014). https://doi.org/10.14232/actasm-012-610-2
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DOI: https://doi.org/10.14232/actasm-012-610-2