A commutator approach to absolute continuity for unbounded Jacobi operators |
| |
Authors: | Joanne Dombrowski |
| |
Institution: | Department of Mathematics and Statistics, Wright State University, Dayton, OH 45435, United States |
| |
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. |
| |
Keywords: | Jacobi operators Absolute continuity Commutator equations |
本文献已被 ScienceDirect 等数据库收录! |