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On Rakhmanov's theorem for Jacobi matrices


Author: Sergey A. Denisov
Journal: Proc. Amer. Math. Soc. 132 (2004), 847-852
MSC (2000): Primary 47B36
Published electronically: July 7, 2003
MathSciNet review: 2019964
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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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Additional Information

Sergey A. Denisov
Affiliation: Department of Mathematics, California Institute of Technology, 253-37, Pasadena, California 91125
Email: denissov@caltech.edu

DOI: https://doi.org/10.1090/S0002-9939-03-07157-0
Received by editor(s): October 16, 2002
Received by editor(s) in revised form: November 8, 2002
Published electronically: July 7, 2003
Communicated by: Andreas Seeger
Article copyright: © Copyright 2003 American Mathematical Society