INVESTIGADORES
MURO Luis Santiago Miguel
artículos
Título:
Hypercyclic homogeneous polynomials on H ( C )
Autor/es:
CARDECCIA, RODRIGO; MURO, SANTIAGO
Revista:
JOURNAL OF APPROXIMATION THEORY
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Año: 2018 vol. 226 p. 60 - 72
ISSN:
0021-9045
Resumen:
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. We show the existence of hypercyclic polynomials on H(C), by exhibiting a concrete polynomial which is also the first example of a frequently hypercyclic homogeneous polynomial on any F-space. We prove that the homogeneous polynomial on H(C) defined as the product of a translation operator and the evaluation at 0 is mixing, frequently hypercyclic and chaotic. We prove, in contrast, that some natural related polynomials fail to be hypercyclic.
