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FIELD
Math:Analysis
DATE
May 30 (Thu), 2024
TIME
17:00 ~ 18:00
PLACE
ONLINE
SPEAKER
Cobollo, Christian
HOST
Jung, Mingu
INSTITUTE
Universitat Politècnica de València
TITLE
[GS_M_APP] Linear Dynamics and disjointness in Lipschitz-free spaces
ABSTRACT
There is a recent line of research devoted to studying whether the functor that relates a Lipschitz map $f$ on a metric space $M$ to its corresponding linearization operator $T_f$ on the Lipschitz-free space $\mathcal{F}(M)$ carries information about a given property. Along this talk, we will present some results regarding the study of Linear Dynamics, providing conditions to obtain properties like Hypercyclicity, Disjoint-transitiveness, and the Operator Specification Property in the Lipscthiz-free operators $T_f$ depending on the underlying (non-linear) dynamical system $(M,f)$. Roughly speaking, we will obtain that, provided that a dynamical property has ``high enough frequency'', then it passes to the Lipschtiz-free space. This talk is based on a joint work with Alfred Peris.
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