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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   +1 more
openaire   +1 more source

Frequently hypercyclic operators

2011
The contents of this chapter are motivated by recent work on the application of ergodic theory to linear dynamics. While the technical difficulties involved prevent us from studying these tools here, we will discuss a new concept that has come out of these investigations, the frequently hypercyclic operators.
Karl-G. Grosse-Erdmann   +1 more
openaire   +1 more source

Some Examples of Hypercyclic Operators and Universal Sequences of Operators

Topological Dynamics and Topological Data Analysis, 2021
Kit C. Chan
semanticscholar   +1 more source

Disjoint subspace-hypercyclic operators on separable Banach spaces

Annals of Functional Analysis
Renyu Chen, Xiang Chen, Zehua Zhou
semanticscholar   +1 more source

Hypercyclic algebras for convolution operators of unimodular constant term

Journal of Mathematical Analysis and Applications, 2020
Juan Bes, Angeles Prieto
exaly  

Disjoint hypercyclic Toeplitz operators

Archiv der Mathematik
Ö. Değer, B. Eskişehirli
semanticscholar   +1 more source

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