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From the 1 of 7 linked papers with an AI index.

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7 papers

math.FA2026

The super Alternative Daugavet property, unconditional bases and SCD geometry

Geivison Ribeiro, Daniel L. Rodríguez-Vidanes

The paper shows that infinite‑dimensional Banach spaces with a 1‑unconditional basis cannot have the super Alternative Daugavet property, and it investigates weak topological bases…

math.FA2026

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…

math.GN2026

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…

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 when and are compact Hausdorff spaces in the real setting. The corresponding com…

math.FA2026

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.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 fractio…