Strong mixing measures for linear operators and frequent hypercyclicity
Functional Analysis
2013-03-05 v1 Dynamical Systems
Abstract
We construct strongly mixing invariant measures with full support for operators on F-spaces which satisfy the Frequent Hypercyclicity Criterion. For unilateral backward shifts on sequence spaces, a slight modification shows that one can even obtain exact invariant measures.
Cite
@article{arxiv.1303.0322,
title = {Strong mixing measures for linear operators and frequent hypercyclicity},
author = {Marina Murillo-Arcila and Alfredo Peris},
journal= {arXiv preprint arXiv:1303.0322},
year = {2013}
}
Comments
7 pages. arXiv admin note: substantial text overlap with arXiv:1206.1978