Geivison Ribeiro

activity

20232025

collaborators

4 papers

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.FA2025

Isometric embeddings of separable Banach spaces into $(ℓ^{\infty} ∖ c) \cup {0}$

Geivison Ribeiro

The classical Banach--Mazur theorem asserts that every separable Banach space admits an isometric embedding into $C [0, 1]$ . It is also well known that every separable Banach space e…

math.FA2024

On Sequences with at Most a Finite Number of Zero Coordinates

Diego Alves, Geivison Ribeiro

In this paper, we analyze the existence of algebraic and topological structures in the set of sequences that contain only a finite number of zero coordinates. Inspired by the work…

math.FA2023

On the spaceability of the set of functions in the Lebesgue space $L_{p}$ which are in no other $L_{q}$

Gustavo Araújo, Anderson Barbosa, Anselmo Raposo +1

In this note we prove that, for $p > 0$ , $L_{p} [0, 1] ∖ ⋃_{q \in (p, \infty)} L_{q} [0, 1]$ is $(α, c)$ -spaceable if, and only if, $α < ℵ_{0}$ . Such a problem…

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

Isometric embeddings of separable Banach spaces into (ℓ∞∖c)∪{0}

On Sequences with at Most a Finite Number of Zero Coordinates

On the spaceability of the set of functions in the Lebesgue space Lp​ which are in no other Lq​

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

Isometric embeddings of separable Banach spaces into $(ℓ^{\infty} ∖ c) \cup {0}$

On the spaceability of the set of functions in the Lebesgue space $L_{p}$ which are in no other $L_{q}$