A Spectral Equivalence for Jacobi Matrices

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dc.creatorRyckman, E.
dc.date2006-04-24
dc.date2006-07-07
dc.date.accessioned2026-07-07T07:11:13Z
dc.date.available2026-07-07T07:11:13Z
dc.descriptionWe use the classical results of Baxter and Gollinski-Ibragimov to prove a new spectral equivalence for Jacobi matrices on $l^2(\N)$. 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 $\sum_{k=n}^\infty b_k$ and $\sum_{k=n}^\infty (a_k^2 - 1)$ lie in $l^2_1 \cap l^1$ or $l^1_s$ for $s \geq 1$.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0604515
dc.identifierhttp://arxiv.org/abs/math/0604515
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111673
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.titleA Spectral Equivalence for Jacobi Matrices
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