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Preprints, Working Papers, ... Year : 2012

Strongly $n$-supercyclic operators

Romuald Ernst

Abstract

In this paper, we are interested in the properties of a new class of operators, recently introduced by Shkarin, called strongly $n$-supercyclic operators. This notion is stronger than $n$-supercyclicity. We prove that such operators have interesting spectral properties and give examples and counter-examples answering some natural questions asked by Shkarin.
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Dates and versions

hal-00697587 , version 1 (15-05-2012)
hal-00697587 , version 2 (06-01-2014)

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Romuald Ernst. Strongly $n$-supercyclic operators. 2012. ⟨hal-00697587v2⟩
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