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<p> Tuesday, 2 December 2025 - 10:00 to 11:30 <br>
Place: IM, Konírna, ground floor, front building</p>
<p> Speaker: Tomáš Raunig, Institute of Mathematics, Czech Academy
of Sciences<br>
Title: Dynamical properties of weighted shifts on sequence spaces</p>
<p> Abstract <br>
</p>
In this talk, we will explore dynamical properties of weighted
shifts on sequence spaces, a central class of operators in linear
dynamics. After a brief overview of linear dynamics on Fréchet
spaces, we will recall the notions of generalized hyperbolicity,
(periodic) shadowing, and (uniform) topological expansivity. We then
discuss how these concepts manifest in the setting of weighted
shifts, highlighting an example of a generalized hyperbolic shift
without the shadowing property, a characterization of uniform
topological expansivity under natural assumptions, and a
weight-based criterion for the periodic shadowing property. These
results provide answers to three recent open questions in the field<br>
<br>
<p> For more information see the seminar web page at <br>
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