On the removal of finite discrete spectrum by coefficient stripping

نویسندگان

  • Barry Simon
  • B. Simon
چکیده

We prove for a large class of operators J, including block Jacobi matrices, that if .J / n Œ ̨; ˇ is a finite set, each point of which is an eigenvalue of finite multiplicity, then a finite coefficient stripped, JN , has .JN / Œ ̨; ˇ . We use an abstract Dirichlet decoupling. Mathematics Subject Classification (2010). 47B26, 34L15, 81Q10.

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تاریخ انتشار 2010