BUT Faculty of Civil Engineering,

Department of Mathematics and Descriptive Geometry

invites you to a lecture

### Spectral resolutions for non-self-adjoint convolution operators

**Thursday 20th June 2024 at 11:00**

**Abstract.** This talk presents a spectral theory for a class of non-self-adjoint convolution type operators. Particular attention is paid to spectral decomposition (in terms of suitable invariant chains) of the convolution operators under consideration, summing up the extension to them of the classical Schur theory on the triangular decomposition of matrices. It is considered the general case of operators deﬁned on Banach spaces. Applications to the spectral theory of periodic Jacobi type operators that are applicable to mathematics, physics, mathematical physics and others will also be given.

**At the department meeting room (2 ^{nd} floor Z205), Žižkova 17.**

### THE LECTURE WILL BE GIVEN BY DR. EWELINA ZALOT,

*Faculty of Applied Mathematics, AGH University of Krakow, Al. A. Mickiewicza 30, 30-059 Kraków, Poland*

The lecture is intended for all those interested in these problems.

Ing. Jan Holešovský, Ph.D.

Head of the Institute of Mathematics and Descriptive Geometry