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Pré-Publication, Document De Travail Année : 2018

FREQUENT UNIVERSALITY CRITERION AND DENSITIES

Résumé

We improve a recent result by giving the optimal conclusion possible 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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Dates et versions

hal-01835330 , version 1 (11-07-2018)

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Romuald Ernst, A Mouze. FREQUENT UNIVERSALITY CRITERION AND DENSITIES. 2018. ⟨hal-01835330⟩
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