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arXiv · 1303.0322

Strong mixing measures for linear operators and frequent hypercyclicity

Marina Murillo-Arcila·Alfredo Peris
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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.

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Marina Murillo-Arcila, Alfredo Peris. 2013-03-02. Strong mixing measures for linear operators and frequent hypercyclicity. https://doi.org/10.1016/j.jmaa.2012.08.050

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