3 papers
math.FA2024
On the set of supercyclic operators
Thiago R. Alves, Gustavo C. Souza
In this article, we address a problem posed by F. Bayart regarding the existence of an infinite-dimensional closed vector subspace (excluding the null operator) within the set of s…
math.FA2023
On sets of extreme functions for Fatou's theorem
Thiago R. Alves, Leonardo Brito, Daniel Carando
Bounded holomorphic functions on the disk have radial limits in almost every direction, as follows from Fatou's theorem. Given a zero-measure set in the torus , we s…
math.FA2021
Spaceability of sets of p-compact maps
Thiago R. Alves, Pablo Turco
We provide quite sufficient conditions on the Banach spaces and in order to obtain the spaceability of the set of all linear operators from into which are -compa…