2 citations · 2 across the 2 of their papers we have counts for
6 papers
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…
Asymptotic first boundary value problem for elliptic operators
Javier Falcó, Paul M. Gauthier
In 1955, Lehto showed that, for every measurable function on the unit circle there is a function holomorphic in the unit disc, having as radial limit a.e.…
Approximation in measure: Dirichlet problem, universality and the Riemann hypothesis
Javier Falcó, Paul M. Gauthier
Approximation in measure is employed to solve an asymptotic Dirichlet problem on arbitrary open sets and to show that many functions, including the Riemann zeta-function, are unive…
Algebras of frequently hypercyclic vectors
Javier Falcó, Karl-G. Grosse-Erdmann
We show that the multiples of the backward shift operator on the spaces , , or , when endowed with coordinatewise multiplication, do not possess fr…
A function algebra providing new Mergelyan type theorems in several complex variables
Javier Falcó, Paul M. Gauthier, Myrto Manolaki +1
For compact sets , we introduce a subalgebra of , which allows us to obtain Mergelyan type theorems for products of planar compact sets as…
Algebrability of the set of hypercyclic vectors for backward shift operators
Javier Falcó, Karl-G. Grosse-Erdmann
We study the existence of algebras of hypercyclic vectors for weighted backward shifts on Fréchet sequence spaces that are algebras when endowed with coordinatewise multiplication…