From the 1 of 7 linked papers with an AI index.
7 papers
On the -Lineability of Nowhere Differentiable Functions
Fábio Lima, Mônica Santos, Geivison Ribeiro
We establish a countable-dimensional extension property for the family of continuous nowhere differentiable functions, which we denote by $\ND[0,1]$. More precisely, we prove that…
The super Alternative Daugavet property, unconditional bases and SCD geometry
Geivison Ribeiro, Daniel L. RodrÃguez-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…
Weak Minimizing Property and the Compact Perturbation Property for the Minimum Modulus
Anselmo Raposo, Geivison Ribeiro
For an operator , denote . A sequence in is said to be minimizing for if . The weak minimizing property…
Extension of hypercyclic and frequently hypercyclic subspaces
Felipe Carvalho Silva, Geivison Ribeiro, Régis Varão
We focus on the existence of large linear structures within the sets of hypercyclic and frequently hypercyclic vectors. For operators satisfying Kitai's Criterion or the Freque…
The Exact -Hypercyclicity Threshold
Geivison Ribeiro
In this paper we give an affirmative answer to the problem proposed by Bayart in [J. Math. Anal. Appl. \textbf{529} (2024), 127278]: given , there exists an op…
Operator Ranges and Spaceability: Extending a Result of Kitson and Timoney
Geivison Ribeiro
We revisit the results of Kitson and Timoney \emph{[J.~Math.~Anal.~Appl.~\textbf{378} (2011), 680--686]} on the spaceability of complements of operator ranges, extending one of the…