Javier Falcó

activity

20182023

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Showing 2019Show all

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math.DS2019

Algebras of frequently hypercyclic vectors

Javier Falcó, Karl-G. Grosse-Erdmann

We show that the multiples of the backward shift operator on the spaces $ℓ_{p}$ , $1 \leq p < \infty$ , or $c_{0}$ , when endowed with coordinatewise multiplication, do not possess fr…

math.CV2019

A function algebra providing new Mergelyan type theorems in several complex variables

Javier Falcó, Paul M. Gauthier, Myrto Manolaki +1

For compact sets $K \subset C^{d}$ , we introduce a subalgebra $A_{D} (K)$ of $A (K)$ , which allows us to obtain Mergelyan type theorems for products of planar compact sets as…