5 citations · 13 across the 8 of their papers we have counts for
9 papers · 1 filter
Frequently recurrent backward shifts
Rodrigo Cardeccia, Santiago Muro
We study frequently recurrent unilateral and bilateral backward shift operators on Fréchet sequence spaces. We prove that if a backward shift admits a non-zero frequently recurrent…
Frequently recurrence properties and block families
Rodrigo Cardeccia, Santiago Muro
We prove that reiteratively hypercyclic operators have perfect spectrum. Consequently, it follows that there exist separable infinite dimensional Banach spaces that do not support…
Disjoint hypercyclicity, Sidon sets and weakly mixing operators
Rodrigo Cardeccia
We prove that a finite set of natural numbers satisfies that is not Sidon if and only if for any operator , the disjoint hypercyclicity of impl…
Multiple recurrence and hypercyclicity
Rodrigo Cardeccia, Santiago Muro
We study multiply recurrent and hypercyclic operators as a special case of -hypercyclicity, where is the family of subsets of the natural numbers containin…
Zero-one law of orbital limit points for weighted shifts
Antonio Bonilla, Rodrigo Cardeccia, Karl-G. Grosse-Erdmann +1
Chan and Seceleanu have shown that if a weighted shift operator on , , admits an orbit with a non-zero limit point then it is hypercyclic. We pr…
Arithmetic progressions and chaos in linear dynamics
Rodrigo Cardeccia, Santiago Muro
We characterize chaotic linear operators on reflexive Banach spaces in terms of the existence of long arithmetic progressions in the sets of return times. To achieve this, we study…
Hypercyclic bilinear operators on Banach spaces
Rodrigo Cardeccia
We study the dynamics induced by an -linear operator. We answer a question of Bès and Conejero showing an example of an -linear hypercyclic operator acting on a Banach space.…
Orbits of homogeneous polynomials on Banach spaces
Rodrigo Cardeccia, Santiago Muro
We study the dynamics induced by homogeneous polynomials on Banach spaces. It is known that no homogeneous polynomial defined on a Banach space can have a dense orbit. We show, a s…
Hypercyclic homogeneous polynomials on
Rodrigo Cardeccia, Santiago Muro
It is known that homogeneous polynomials on Banach spaces cannot be hypercyclic, but there are examples of hypercyclic homogeneous polynomials on some non-normable Fréchet spaces.…