43 citations · 72 across the 4 of their papers we have counts for
4 papers
Recurrent subspaces in Banach spaces
Antoni López-Martínez
We study the spaceability of the set of recurrent vectors for an operator on a Banach space . In particular: we find sufficient conditions…
Questions in linear recurrence: From the -problem to lineability
Sophie Grivaux, Antoni López-Martínez, Alfred Peris
We study, for a continuous linear operator on an F-space , when the direct sum operator is recurrent on . In particular: we establish, for recurrence,…
Recurrence properties for linear dynamical systems: An approach via invariant measures
Sophie Grivaux, Antoni López-Martínez
We study different pointwise recurrence notions for linear dynamical systems from the Ergodic Theory point of view. We show that from any reiteratively recurrent vector , for…
Frequently recurrent operators
Antonio Bonilla, Karl-G. Grosse-Erdmann, Antoni López-Martínez +1
Motivated by a recent investigation of Costakis et al. on the notion of recurrence in linear dynamics, we study various stronger forms of recurrence for linear operators, in partic…