Antoni L'opez-Mart'inez

collaborators

2 papers

math.FA2025

Questions in linear recurrence: From the $T \oplus T$ -problem to lineability

Sophie Grivaux, Antoni LÃ³pez-MartÃnez, Alfred Peris

We study, for a continuous linear operator $T$ on an F-space $X$ , when the direct sum operator $T \oplus T$ is recurrent on $X \oplus X$ . In particular: we establish, for recurrence,…

math.FA2024

Recurrent subspaces in Banach spaces

Antoni LÃ³pez-MartÃnez

We study the spaceability of the set of recurrent vectors $Rec (T)$ for an operator $T : X ⟶ X$ on a Banach space $X$ . In particular: we find sufficient conditions…

Questions in linear recurrence: From the T⊕T-problem to lineability

Recurrent subspaces in Banach spaces

Questions in linear recurrence: From the $T \oplus T$ -problem to lineability