Γ-supercyclicity for direct sums of bounded linear operators

Analyse Fonctionnelle

Lieu:

Salle Kampé de Fériet M2

Orateur:

Nikolitsa Chatzigiannakidou

Affiliation:

Calais

Dates:

Vendredi, 10 Janvier, 2020 - 14:00 - 15:00

Résumé:

In this talk we deal with the phenomenon of

Γ-supercyclicity. For a subset Γ of the complex plane, an operator T

on a Banach space X is called Γ-supercyclic if there exists a point x

in X such that Orb(Γx,T) is dense in X. In 2016, S. Charpentier, R.

Ernst and Q. Menet characterized the sets Γ for which the notion of

Γ-supercyclicity coincides with the stronger notion of hypercyclicity.

We will highlight the importance of the group structure of a specific

set, which will allow us to extend the result of S. Charpentier, R.

Ernst, Q. Menet. This is a joint work with R. Ernst.