Some Jacobi Matrices with Decaying Potential and Dense Point Spectrum

نویسندگان

  • Barry Simon
  • B. Simon
چکیده

We discuss doubly infinite matrices of the form Mi — δi + 1 -\-δί ._ t + Ff<5i;. as operators on / 2 . We present for each 8>0, examples of potentials Vn with \Vn\ = O(n~ ί/2 + ) and where M has only point spectrum. Our discussion should be viewed as a remark on the recent work of Delyon, Kunz, and Souillard.

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تاریخ انتشار 1982