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 | References | Similar Articles | Additional Information

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