On Rakhmanov’s theorem for Jacobi matrices

Denisov, Sergey

doi:10.1090/S0002-9939-03-07157-0

On Rakhmanov’s theorem for Jacobi matrices
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by Sergey A. Denisov

Proc. Amer. Math. Soc. 132 (2004), 847-852

DOI: https://doi.org/10.1090/S0002-9939-03-07157-0

Published electronically: July 7, 2003

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Abstract:

We prove Rakhmanov’s theorem for Jacobi matrices without the additional assumption that the number of bound states is finite. This result solves one of Nevai’s open problems.

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