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On the instability of the essential spectrum for block Jacobi matrices

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 نشر من قبل Stanislav Kupin
 تاريخ النشر 2017
  مجال البحث فيزياء
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We are interested in the phenomenon of the essential spectrum instability for a class of unbounded (block) Jacobi matrices. We give a series of sufficient conditions for the matrices from certain classes to have a discrete spectrum on a half-axis of a real line. An extensive list of examples showing the sharpness of obtained results is provided.



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