INVESTIGADORES
MURO Luis Santiago Miguel
artículos
Título:
Orbits of homogeneous polynomials on Banach spaces
Autor/es:
CARDECCIA, RODRIGO; MURO, SANTIAGO
Revista:
ERGODIC THEORY AND DYNAMICAL SYSTEMS
Editorial:
CAMBRIDGE UNIV PRESS
Referencias:
Año: 2021 vol. 41 p. 1627 - 1655
ISSN:
0143-3857
Resumen:
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 simple and natural example of a homogeneous polynomial with an orbit that is at the same time-dense (the orbit meets every ball of radius), weakly dense and such that is dense for every that either is unbounded or has 0 as an accumulation point. Moreover, we generalize the construction to arbitrary infinite-dimensional separable Banach spaces. To prove this, we study Julia sets of homogeneous polynomials on Banach spaces.
