Hypercyclic bilinear operators on Banach spaces
Functional Analysis
2020-01-22 v2 Complex Variables
Dynamical Systems
Abstract
We study the dynamics induced by an -linear operator. We answer a question of B\`es and Conejero showing an example of an -linear hypercyclic operator acting on a Banach space. Moreover we prove the existence of -linear hypercyclic operators on arbitrary infinite dimensional separable Banach spaces. We also prove an existence result about symmetric bihypercyclic bilinear operators, answering a question by Grosse-Erdman and Kim.
Cite
@article{arxiv.1905.12057,
title = {Hypercyclic bilinear operators on Banach spaces},
author = {Rodrigo Cardeccia},
journal= {arXiv preprint arXiv:1905.12057},
year = {2020}
}