3 papers
math.FA2024
On frequently supercyclic operators and an F_Γ-hypercyclicity criterior with applications
Thiago R. Alves, Geraldo Botelho, Vinicius V. Fávaro
Given a Furstenberg family F and a subset Γ of C, we introduce and explore the notions of F_Γ-hypercyclic operator and F-hypercyclic scalar set. First, the study of F_C-hypercyclic…
math.DS2024
Generalized Hyperbolicity, Stability and Expansivity for Operators on Locally Convex Spaces
Nilson C. Bernardes, Blas M. Caraballo, Udayan B. Darji +2
We introduce and study the notions of (generalized) hyperbolicity, topological stability and (uniform) topological expansivity for operators on locally convex spaces. We prove that…
math.FA2018
Lineability and spaceability: a new approach
Vinícius Fávaro, Daniel Pellegrino, Daniel Tomaz
The area of research called \textquotedblleft Lineability\textquotedblright% \ looks for linear structures inside exotic subsets of vector spaces. In the last decade lineability/sp…