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Published March 2011 | Published
Journal Article Open

Equivalence classes of block Jacobi matrices

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 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.

Additional Information

© 2011 American Mathematical Society. Reverts to public domain 28 years from publication. Received by editor(s): December 12, 2009; Received by editor(s) in revised form: April 2, 2010; Posted: August 13, 2010. Communicated by: Walter Van Assche. The author would like to thank Professor Barry Simon for helpful comments.

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August 19, 2023
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