Strong mixing measures for linear operators and frequent hypercyclicity
classification
🧮 math.FA
math.DS
keywords
measuresfrequenthypercyclicityinvariantmixingoperatorsbackwardconstruct
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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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