A spectral equivalence for Jacobi matrices |
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| Authors: | E Ryckman |
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| Institution: | aUniversity of California, Los Angeles CA 90095, USA |
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| Abstract: | We use the classical results of Baxter and Golinskii–Ibragimov to prove a new spectral equivalence for Jacobi matrices on  . In particular, we consider the class of Jacobi matrices with conditionally summable parameter sequences and find necessary and sufficient conditions on the spectral measure such that  and  lie in  or  for s 1. |
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| Keywords: | Jacobi matrices Spectral theory |
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