Details

Autor(en) / Beteiligte

• ERNST, ROMUALD
• MOUZE, AUGUSTIN

Titel

A quantitative interpretation of the frequent hypercyclicity criterion

Ist Teil von

• Ergodic theory and dynamical systems, 2019-04, Vol.39 (4), p.898-924

Ort / Verlag

Cambridge, UK: Cambridge University Press

Erscheinungsjahr

2019

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We give a quantitative interpretation of the frequent hypercyclicity criterion. Actually we show that an operator which satisfies the frequent hypercyclicity criterion is necessarily $A$ -frequently hypercyclic, where $A$ refers to some weighted densities sharper than the natural lower density. In that order, we exhibit different scales of weighted densities that are of interest to quantify the ‘frequency’ measured by the frequent hypercyclicity criterion. Moreover, we construct an example of a unilateral weighted shift which is frequently hypercyclic but not $A$ -frequently hypercyclic on a particular scale.