Geraldo Botelho

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math.FA2026

On hypercyclic spaces and (common) $U$ -frequently hypercyclic spaces

Nacib G. Albuquerque, Thiago R. Alves, Geraldo Botelho +1

Let $B$ be an unilateral weighted backward shift on $ℓ_{p}$ , $1 \leq p < \infty$ , that admits a $U$ -frequently hypercyclic subspace. We prove that $B$ admits such a subs…

math.FA2024

On frequently supercyclic operators and an F_Î-hypercyclicity criterior with applications

Thiago R. Alves, Geraldo Botelho, Vinicius V. FÃ¡varo

Given a Furstenberg family F and a subset Î of C, we introduce and explore the notions of F_Î-hypercyclic operator and F-hypercyclic scalar set. First, the study of F_C-hypercycl…

On hypercyclic spaces and (common) U-frequently hypercyclic spaces

On frequently supercyclic operators and an F_Î-hypercyclicity criterior with applications

On hypercyclic spaces and (common) $U$ -frequently hypercyclic spaces

On frequently supercyclic operators and an F_Î-hypercyclicity criterior with applications