4 papers
Density of polynomials whose Aron--Berner extensions attain their norms
Javier Falcó
We establish a polynomial analogue of Lindenstrauss' theorem in full generality. More precisely, we prove that, for every real or complex Banach space X and every positive integer…
Area Minimization Among Group-Invariant Planar Convex Bodies of Constant Width
Javier Falco, Sergii Myroshnychenko
The classical Blaschke--Lebesgue theorem identifies the Reuleaux triangle as the planar convex body of constant width with minimum area. We investigate this extremal problem under…
Group invariant operators and some applications on norm-attaining theory
Sheldon Dantas, Javier Falcó, Mingu Jung
In this paper, we study geometric properties of the set of group invariant continuous linear operators between Banach spaces. In particular, we present group invariant versions of…
Group invariant separating polynomials on a Banach space
Javier Falco, Domingo Garcia, Mingu Jung +1
We study the group invariant continuous polynomials on a Banach space that separate a given set in and a point outside . We show that if is a real Banach spa…