Dynamical properties of weighted shifts on sequence spaces

Start: 28 November 2025 11:00
End: 28 November 2025 12:00
Categories: Conference , Seminar , Instituto de Matemáticas UGR

Where: Seminario Análisis Matemático, Facultad de Ciencias

IMAG Functional Analysis Seminar
Title: Dynamical properties of weighted shifts on sequence spaces
By Tomáš Raunig (Charles University, Czech Republic)
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.