Strongly $n$-supercyclic operators

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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Source https://hal.science/hal-00697587
Author Ernst, Romuald
Maintainer CCSD
Last Updated May 7, 2026, 15:42 (UTC)
Created May 7, 2026, 15:42 (UTC)
Identifier hal-00697587
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Equipe Probabilités, Analyse et Statistique ; Laboratoire de Mathématiques Blaise Pascal (LMBP) ; Université Blaise Pascal - Clermont-Ferrand 2 (UBP)-Centre National de la Recherche Scientifique (CNRS)-Université Blaise Pascal - Clermont-Ferrand 2 (UBP)-Centre National de la Recherche Scientifique (CNRS)
creator Ernst, Romuald
date 2012-05-10T00:00:00
harvest_object_id 73f20ad3-c148-4dab-98af-c938c9c84980
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2024-05-02T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1205.3574
set_spec type:UNDEFINED