Geivison Ribeiro

activity

20242026

collaborators

8 papers

math.FA2026

The super Alternative Daugavet property, unconditional bases and SCD geometry

Geivison Ribeiro, Daniel L. Rodríguez-Vidanes

We answer negatively the 1-unconditional part of Question 6.4, by Langemets, Lõo, Martín, Perreau and Rueda Zoca, and, more generally, prove that no infinite-dimensional Banach spa…

math.FA2026

On the $(n, ℵ_{0})$ -Lineability of Nowhere Differentiable Functions

Fábio Lima, Mônica Santos, Geivison Ribeiro

We establish a countable-dimensional extension property for the family of continuous nowhere differentiable functions, which we denote by $\ND[0,1]$. More precisely, we prove that…

math.FA2026

Extension of hypercyclic and frequently hypercyclic subspaces

Felipe Carvalho Silva, Geivison Ribeiro, Régis Varão

We focus on the existence of large linear structures within the sets of hypercyclic and frequently hypercyclic vectors. For operators $T$ satisfying Kitai's Criterion or the Freque…

math.FA2026

Weak Minimizing Property and the Compact Perturbation Property for the Minimum Modulus

Anselmo Raposo, Geivison Ribeiro

For an operator $T : X \to Y$ , denote $m (T) = in f {∥ T x ∥ : x \in S_{X}}$ . A sequence $(x_{n})$ in $S_{X}$ is said to be minimizing for $T$ if $∥ T x_{n} ∥ \to m (T)$ . The weak minimizing property…

math.DS2025

The endpoint problem for $ε$ -hypercyclicity

Vinícius V. Fávaro, Geivison Ribeiro, Daniel Pellegrino +1

For a fixed $0 < ε < 1$ , F. Bayart asked in 2024 whether there exists an operator $T$ such that, for every $0 < δ < 1$ , $T$ is $δ$ -hypercyclic if and only if $δ\in[\varepsilon,1)…

math.FA2025

Operator Ranges and Spaceability: Extending a Result of Kitson and Timoney

Geivison Ribeiro

We revisit the results of Kitson and Timoney \emph{[J.~Math.~Anal.~Appl.~\textbf{378} (2011), 680--686]} on the spaceability of complements of operator ranges, extending one of the…

math.FA2025

An $ℓ^{1}$ -Isometric Subspace of $C [0, 1]$ with Countable Oscillating Spectrum

Geivison Ribeiro

In this paper we construct a closed subspace $X \subset C [0, 1]$ with countable oscillating spectrum $Ω (X)$ such that $X$ is isometric to $ℓ^{1}$ . This provides a negative answer to…

math.FA2024

Complements of Non-Minimal Subspaces: Characterization Results

Geivison Ribeiro

Inspired by the work of L. Drewnowski in [Studia Math. 77 (1984) 373--391], our research reveals new insights and characterizes the notion of spaceability in the context of complem…

The super Alternative Daugavet property, unconditional bases and SCD geometry

On the (n,ℵ0​)-Lineability of Nowhere Differentiable Functions

Extension of hypercyclic and frequently hypercyclic subspaces

Weak Minimizing Property and the Compact Perturbation Property for the Minimum Modulus

The endpoint problem for ε-hypercyclicity

Operator Ranges and Spaceability: Extending a Result of Kitson and Timoney

An ℓ1-Isometric Subspace of C[0,1] with Countable Oscillating Spectrum

Complements of Non-Minimal Subspaces: Characterization Results

On the $(n, ℵ_{0})$ -Lineability of Nowhere Differentiable Functions

The endpoint problem for $ε$ -hypercyclicity

An $ℓ^{1}$ -Isometric Subspace of $C [0, 1]$ with Countable Oscillating Spectrum