A. Peris

most citedQuestions in linear recurrence: From the

T \oplus T

-problem to lineability

3 citations · 3 across the 1 of their papers we have counts for

collaborators

2 papers

math.FA2025★ 3 cited

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.DS2024

On Shadowing and Chain Recurrence in Linear Dynamics

Nilson C. Bernardes, Alfredo Peris

In the present work we study the concepts of shadowing and chain recurrence in the setting of linear dynamics. We prove that shadowing and finite shadowing always coincide for oper…

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

On Shadowing and Chain Recurrence in Linear Dynamics

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