6 papers
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…
Note on infinite-dimensional -spaces
Daniel L. Rodríguez-Vidanes, Juan Carlos Sampedro
We prove that, for every , the -space of Baker's measure on is isometrically isomorphic to in ZFC…
Two notes on valued fields
S. Maghsoudi, Daniel L. Rodríguez-Vidanes
This paper studies two questions on valued fields: the metric dimension induced by an absolute value, and the uniform openness of multiplication. For nontrivial non-archimedean abs…
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…
Isometric classification of the -spaces of infinite dimensional Lebesgue measure
Daniel L. Rodríguez-Vidanes, Juan Carlos Sampedro
We investigate the isometric structure of -spaces for the infinite-dimensional Lebesgue measure . Under the continuum hypothesis (CH) we prove $…
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 which are isomorphic to their duals but not to their conjugate duals. We do that by showing that th…