Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2019; 34(2): 557-563

Online first article January 9, 2019      Printed April 30, 2019

https://doi.org/10.4134/CKMS.c180167

Copyright © The Korean Mathematical Society.

Ces\`{a}ro-hypercyclic and hypercyclic operators

Mohammed El Berrag, Abdelaziz Tajmouati

Faculty of Sciences Dhar El Mahraz; Faculty of Sciences Dhar El Mahraz

Abstract

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In this paper we provide a Ces\`aro-hypercyclicity criterion and offer two examples of this criterion. At the same time, we also characterize other properties of Ces\`aro-hypercyclic operators.

Keywords: hypercyclic, supercyclic, ces\`aro-hypercyclic, Ces\`aro-hyper\-cyclicity criterion

MSC numbers: Primary 47A16; Secondary 46B37

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