Eva A. Gallardo Gutiérrez (Universidad Complutense de Madrid & IICMAT)

will speak on

Compact perturbations of normal operators: where are their invariant subspaces?

Time: 3:00PM
Date: Tue 28th October 2025
Location: E0.32 (beside Pi restaurant) [map]

Further information

Abstract: In this talk, we will address the problem regarding the existence of non-trivial closed invariant subspaces of compact perturbations of normal operators acting boundedly on separable, infinite-dimensional complex Hilbert spaces. After considering the finite-rank case, we will show that a large class of such operators consists of decomposable operators (in the sense of Foias). Therefore, every operator in such a class has a rich spectral structure and plenty of non-trivial closed invariant subspaces, extending recent results of Foias, Jung, Ko, and Pearcy.

Based on joint works with F. J. González-Doña.

https://ucd-ie.zoom.us/j/61700984509

(This talk is part of the Analysis series.)

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