Université d'Artois

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most citedNopol: Automatic Repair of Conditional Statement Bugs in Java Programs

432 citations

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13 papers · 1 filter

math.FA2024

Hereditarily frequently hypercyclic operators and disjoint frequent hypercyclicity

F. Bayart, S. Grivaux, E. Matheron +1

We introduce and study the notion of hereditary frequent hypercyclicity, which is a reinforcement of the well known concept of frequent hypercyclicity. This notion is useful for th…

math.FA2024

Eventual Ideal Properties of the Riemann-Liouville Analytic Semigroup

Ihab Alam, Isabelle Chalendar, Fida El Chami +2

In this paper, we revisit the Riemann--Liouville analytic semigroup. In particular, we completely characterize the membership to the Schatten class $S^{r}$ on $L^{2} (0, 1)$ , as well as…

math.FA2023

Orthogonality of invariant measures for weighted shifts

Sophie Grivaux, Etienne Matheron, Quentin Menet

We introduce and study the notion of orthogonality for two operators in the context of weighted backward shifts on $ℓ_{p} (Z_{+})$ , $1 \leq p < \infty$ . Two continuous linear o…

math.FA2023

On some questions about composition operators on weighted Hardy spaces

Pascal Lefèvre, Daniel Li, Hervé Queffélec +1

We first consider some questions raised by N. Zorboska in her thesis. In particular she asked for which sequences $β$ every symbol $φ : D \to D$ with $φ\in H^…

math.FA2017★ 6 cited

Invariant subspaces for non-normable Fréchet spaces

Quentin Menet

A Fréchet space $X$ satisfies the Hereditary Invariant Subspace (resp. Subset) Property if for every closed infinite-dimensional subspace $M$ in $X$ , each continuous operator on $M…

math.FA2017

$L^{2}$ -Müntz spaces as model spaces

Emmanuel Fricain, Pascal Lefevre

We emphasize a bridge between two areas of function theory: hilbertian Müntz spaces and model spaces of the Hardy space of the right half plane. We give miscellaneous applications…