Journal of Operator Theory
Volume 71, Issue 2, Spring 2014 pp. 427-453.
Strongly $n$-supercyclic operators
Authors:
Romuald Ernst
Author institution:Laboratoire de Mathematiques (UMR 6620) de
l'Universite Blaise Pascal, Complexe universitaire des Cezeaux, 63171
Aubiere Cedex, France
Summary: 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 we
give examples and counter-examples answering some questions asked by
Shkarin.
DOI: http://dx.doi.org/10.7900/jot.2012jun11.1988
Keywords: strongly n-supercyclic, n-supercyclic, hypercyclic
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