Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4618467 | Journal of Mathematical Analysis and Applications | 2011 | 7 Pages |
Abstract
This paper uses commutator equations to study the absolute continuity of spectral measures associated with certain subclasses of unbounded self-adjoint Jacobi matrix operators determined by properties of the diagonal and subdiagonal sequences. If the diagonal sequence is the zero sequence, properties of the difference sequence of the subdiagonal determine the choice of a bounded operator for the commutator equation. The structure of the resulting commutator leads to results on absolute continuity.
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