Equivalence classes of block Jacobi matrices
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- by Rostyslav Kozhan PDF
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Abstract:
The paper contains two results on the equivalence classes of block Jacobi matrices: first, that the Jacobi matrix of type $2$ in the Nevai class has $A_n$ coefficients converging to $\boldsymbol {1}$, and second, that under an $L^1$-type condition on the Jacobi coefficients, equivalent Jacobi matrices of types $1$, $2$ and $3$ are pairwise asymptotic.References
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Additional Information
- Rostyslav Kozhan
- Affiliation: Department of Mathematics 253-37, California Institute of Technology, Pasadena, California 91125
- Email: rostysla@caltech.edu
- Received by editor(s): December 12, 2009
- Received by editor(s) in revised form: April 2, 2010
- Published electronically: August 13, 2010
- Communicated by: Walter Van Assche
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 799-805
- MSC (2000): Primary 15A18, 15A45
- DOI: https://doi.org/10.1090/S0002-9939-2010-10582-8
- MathSciNet review: 2745633