Existence of common hypercyclic subspaces for the derivative operator and the translation operators
Dynamical Systems
2016-11-28 v1 Functional Analysis
Abstract
We show that the non-zero multiples of the derivative operator and the non-zero multiples of non-trivial translation operators on the space of entire functions share a common hypercyclic subspace, i.e. a closed infinite-dimensional subspace in which each non-zero vector has a dense orbit for each of these operators.
Keywords
Cite
@article{arxiv.1611.08564,
title = {Existence of common hypercyclic subspaces for the derivative operator and the translation operators},
author = {Quentin Menet},
journal= {arXiv preprint arXiv:1611.08564},
year = {2016}
}
Comments
19 pages