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Archiv der Mathematik
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Özkan Değer, Beyaz Başak Eskişehirli
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Hypercyclic and chaotic operators

2011
In this chapter, the notions and results from the first chapter are revisited in the context of linearity. We introduce the notion of a hypercyclic operator and that of a chaotic operator. Among other things it is proved that the classical operators of Birkhoff, MacLane and Rolewicz are chaotic; it is shown that every hypercyclic operator possesses a ...
Karl-G. Grosse-Erdmann, Alfred Peris Manguillot +1 more
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On Hypercyclic Operators

International Journal of Mathematics Trends and Technology, 2020
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Optimal growth of entire functions frequently hypercyclic for the differentiation operator

Journal of Functional Analysis, 2012
Eero Antti Saksman
exaly

Semi-Fredholm Theory: Hypercyclic and Supercyclic Subspaces

Proceedings of the London Mathematical Society, 2000
Manuel González, Fernando León-Saavedra +1 more
exaly

Rate of Growth of Hypercyclic and Frequently Hypercyclic Functions for the Dunkl Operator

Mediterranean Journal of Mathematics, 2016
Antonio Bonilla
exaly

A hypercyclic rank one perturbation of a unitary operator

Mathematische Nachrichten, 2012
Sophie Grivaux
exaly

On S. Grivaux’ example of a hypercyclic rank one perturbation of a unitary operator

Archiv Der Mathematik, 2015
Andrei Lishanskii, Anton D Baranov
exaly