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math.FA2024
Dynamics of weighted shifts on -sums and -sums
Quentin Menet, Dimitris Papathanasiou
We investigate a generalization of weighted shifts where each weight is replaced by an operator going from a Banach space to another one . We then look i…
math.FA2023
Structure of sets of bounded sequences with a prescribed number of accumulation points
Quentin Menet, Dimitris Papathanasiou
For each vector , we can define the non-empty compact set of accumulation points of . Given an infinite subset of , we c…
math.FA2022
Generic properties of l_p-contractions and similar operator topologies
Sophie Grivaux, Etienne Matheron, Quentin Menet
If is a separable reflexive Banach space, there are several natural Polish topologies on , the set of contraction operators on (none of which being clearly…