[Settfa] [Set Theory] Tuesday 2 Dec, Tomáš Raunig

[Adam Bartoš]

Tuesday, 2 December 2025 - 10:00 to 11:30
Place: IM, Konírna, ground floor, front building

Speaker: Tomáš Raunig, Institute of Mathematics, Czech Academy of Sciences
Title: Dynamical properties of weighted shifts on sequence spaces

Abstract

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

For more information see the seminar web page at
https://www.math.cas.cz/index.php/events/seminar/6 
<https://www.math.cas.cz/index.php/events/seminar/6>

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