Daniel L. Rodríguez-Vidanes

activity

20232026

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12 papers · 1 filter

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

Note on infinite-dimensional $L^{p}$ -spaces

Daniel L. Rodríguez-Vidanes, Juan Carlos Sampedro

We prove that, for every $1 \leq p < \infty$ , the $L^{p}$ -space of Baker's measure on $R^{N}$ is isometrically isomorphic to $ℓ^{p} (c, L^{p} [0, 1])$ in ZFC…

math.FA2026

On a problem of Johnson and Wolfe

Manuel Maestre, Domingo García, Daniel L. Rodríguez-Vidanes

In 1979, Johnson and Wolfe proved that norm-attaining operators are dense in $L (C (K), C (S))$ when $K$ and $S$ are compact Hausdorff spaces in the real setting. The corresponding com…

math.FA2026

Algebraic structures featuring graph dimensions, Hölder regularity, and fractional differentiability

Céline Esser, Saeid Maghsoudi, Daniel L. Rodríguez-Vidanes +1

We investigate the algebraic genericity of various families of continuous functions exhibiting extreme irregularity, focusing on fractal dimensions, Hölder regularity, and fraction…

math.FA2025

Isometric classification of the $L^{p}$ -spaces of infinite dimensional Lebesgue measure

Daniel L. Rodríguez-Vidanes, Juan Carlos Sampedro

We investigate the isometric structure of $L^{p}$ -spaces for the infinite-dimensional Lebesgue measure $(R^{N}, μ)$ . Under the continuum hypothesis (CH) we prove $…

math.FA2024

Twisted Hilbert spaces defined by bi-Lipschitz maps

Willian Corrêa, Sheldon Dantas, Daniel L. Rodríguez-Vidanes

We obtain an infinite-dimensional cone of singular twisted Hilbert spaces $Z (φ)$ which are isomorphic to their duals but not to their conjugate duals. We do that by showing that th…

math.FA2024

Searching for linear structures in the failure of the Stone-Weierstrass theorem

Marc Caballer, Sheldon Dantas, Daniel L. Rodríguez-Vidanes

We investigate the failure of the Stone-Weierstrass theorem focusing on the existence of large dimensional vector spaces within the set $\mathcal{C}(L, \mathbb{K}) \setminus \overl…

math.FA2024

Algebraic genericity of certain families of nets in Functional Analysis

Sheldon Dantas, Daniel L. Rodríguez-Vidanes

In Functional Analysis, certain conclusions apply to sequences, but they cannot be carried over when we consider nets. In fact, some nets, including sequences, can behave unexpecte…

math.FA2023

New Results in Analysis of Orlicz-Lorentz spaces

Luis Bernal-González, Daniel L. Rodríguez-Vidanes, Juan B. Seoane-Sepúlveda +1

In this article, we investigate the existence of closed vector subspaces (i.e.spaceability) in various nonlinear subsets of Orlicz-Lorentz spaces $Λ_{φ, w}$ , equipped with the Luxem…

math.FA2023

Linear structures in the set of non-norm-attaining operators on Banach spaces

Sheldon Dantas, Javier Falcó, Mingu Jung +1

We study large linear structures inside sets arising in the theory of norm-attaining operators. We provide several results in the context of lineability, spaceability, maximal-spac…

math.FA2023

Banach spaces with small weakly open subsets of the unit ball and massive sets of Daugavet and $Δ$ -points

Christian Cobollo, Daniel Isert, Ginés López-Pérez +6

We prove that there exists an equivalent norm $∥∣ \cdot ∣∥$ on $L_{\infty} [0, 1]$ with the following properties: (1) The unit ball of $(L_\infty[0,1],\Vert\vert\cdot\ver…

math.FA2023

Lineability on nets and uncountable sequences of functions in measure theory

Daniel L. Rodríguez-Vidanes

In general, some of the well known results of measure theory dealing with the convergence of sequences of functions such as the Dominated Convergence Theorem or the Monotone Conver…

The super Alternative Daugavet property, unconditional bases and SCD geometry

Note on infinite-dimensional Lp-spaces

On a problem of Johnson and Wolfe

Algebraic structures featuring graph dimensions, Hölder regularity, and fractional differentiability

Isometric classification of the Lp-spaces of infinite dimensional Lebesgue measure

Twisted Hilbert spaces defined by bi-Lipschitz maps

Searching for linear structures in the failure of the Stone-Weierstrass theorem

Algebraic genericity of certain families of nets in Functional Analysis

New Results in Analysis of Orlicz-Lorentz spaces

Linear structures in the set of non-norm-attaining operators on Banach spaces

Banach spaces with small weakly open subsets of the unit ball and massive sets of Daugavet and Δ-points

Lineability on nets and uncountable sequences of functions in measure theory

Note on infinite-dimensional $L^{p}$ -spaces

Isometric classification of the $L^{p}$ -spaces of infinite dimensional Lebesgue measure

Banach spaces with small weakly open subsets of the unit ball and massive sets of Daugavet and $Δ$ -points