Frequent hypercyclicity, chaos, and unconditional Schauder decompositions
Functional Analysis
2010-10-19 v2
Abstract
We prove that if X is any complex separable infinite-dimensional Banach space with an unconditional Schauder decomposition, X supports an operator T which is chaotic and frequently hypercyclic. In contrast with the complex case, we observe that there are real Banach spaces with an unconditional basis which support no chaotic operator.
Cite
@article{arxiv.1005.1416,
title = {Frequent hypercyclicity, chaos, and unconditional Schauder decompositions},
author = {Manuel De la Rosa and Leonhard Frerick and Sophie Grivaux and Alfredo Peris},
journal= {arXiv preprint arXiv:1005.1416},
year = {2010}
}
Comments
9 pages, to appear in Israel J. Math