Special Colloquium

Singular spectrum under large perturbations of self-adjoint operators.

Speaker:  Eero Saksman (Universidad de Helsinki)
Date:  Friday, 06 November 2026 - 10:00
Place:  Aula Naranja, ICMAT

Abstract:

We give a gentle review of some well-known basic results in classical perturbation theory of self-adjoint operators, for example concerning 1-dimensional perturbations. Finally, we discuss some recent results on the behaviour of the singular spectrum in a new setup, where we allow the perturbations to be even of non-trace class. The talk is based on a joint work with Constanze Liaw (U. Delaware) and Sergei Treil (Brown U.)

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