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arxiv: 1205.3574 · v2 · pith:5VGKJNZTnew · submitted 2012-05-16 · 🧮 math.FA

Strongly n-supercyclic operators

classification 🧮 math.FA
keywords operatorspropertiesshkarinstronglysupercyclicansweringaskedcalled
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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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