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Frequent universality criterion and densities

  • R. ERNST (a1) and A. MOUZE (a2)

Abstract

We improve a recent result by giving the optimal conclusion both to the frequent universality criterion and the frequent hypercyclicity criterion using the notion of $A$ -densities, where $A$ refers to some weighted densities sharper than the natural lower density. Moreover, we construct an operator which is logarithmically frequently hypercyclic but not frequently hypercyclic.

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Frequent universality criterion and densities

  • R. ERNST (a1) and A. MOUZE (a2)

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