Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592867 | Journal of Functional Analysis | 2007 | 35 Pages |
Abstract
We study stability of spectral types for semi-infinite self-adjoint tridiagonal matrices under random decaying perturbations. We show that absolutely continuous spectrum associated with bounded eigenfunctions is stable under Hilbert–Schmidt random perturbations. We also obtain some results for singular spectral types.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory