Strong mixing measures for linear operators and frequent hypercyclicity
arXiv:1303.0322 · doi:10.1016/j.jmaa.2012.08.050
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.
7 pages. arXiv admin note: substantial text overlap with arXiv:1206.1978