| Abstract: |
| For bounded self-adjoint operators $A$ and $K$ on a separable Hilbert space, consider perturbed operators of the form $A+K$. We present restrictions on the singular spectrum under trace class and more general perturbations. Some of the results are for a one-parameter family of perturbations $A+tK$, as the real parameter $t$ varies. To the best of our knowledge, these are the first statements on the singular spectrum under infinite rank perturbations. |
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