Introduces barrier nonsubordinacy and proves it implies absolutely continuous spectrum for block Jacobi matrices, extending d=1 conditions to d greater than or equal to 1.
In particular, in Section 7.1 we cover Generalized Last–Simon condition, in Section 7.2 Generalized Behncke–Stolz condition and in Section 7.3 the homogenous class condition
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Barrier nonsubordinacy and absolutely continuous spectrum of block Jacobi matrices
Introduces barrier nonsubordinacy and proves it implies absolutely continuous spectrum for block Jacobi matrices, extending d=1 conditions to d greater than or equal to 1.