BECAS
CARDECCIA Rodrigo Alejandro
artículos
Título:
Arithmetic Progressions and Chaos in Linear Dynamics
Autor/es:
CARDECCIA, RODRIGO; MURO, SANTIAGO
Revista:
INTEGRAL EQUATIONS AND OPERATOR THEORY
Editorial:
BIRKHAUSER VERLAG AG
Referencias:
Año: 2022 vol. 94
ISSN:
0378-620X
Resumen:
We characterize chaotic linear operators on reflexive Banach spaces in terms of the existence of long arithmetic progressions in the sets of return times. We also show that this characterization does not hold for arbitrary Banach spaces. To achieve this, we study F-hypercyclicity for a family of subsets of the natural numbers associated to the existence of arbitrarily long arithmetic progressions.
