Geivison Ribeiro

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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.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…

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

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

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 $L_{q}$