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Hypercyclic and chaotic operators
2011In 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
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Frequently hypercyclic operators
2011The 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
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Some Examples of Hypercyclic Operators and Universal Sequences of Operators
Topological Dynamics and Topological Data Analysis, 2021Kit C. Chan
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Disjoint hypercyclic and supercyclic composition operators on discrete weighted Banach spaces
Collectanea Mathematica, 2023Zhiyuan Xu, Ya Wang, Zehua Zhou
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Disjoint subspace-hypercyclic operators on separable Banach spaces
Annals of Functional AnalysisRenyu Chen, Xiang Chen, Zehua Zhou
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On the existence of subspace-hypercyclic operators and a new criteria for subspace-hypercyclicity
Advances in Operator Theory, 2020A. Augusto, L. Pellegrini
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Hypercyclic algebras for convolution operators of unimodular constant term
Journal of Mathematical Analysis and Applications, 2020Juan Bes, Angeles Prieto
exaly
Disjoint hypercyclic Toeplitz operators
Archiv der MathematikÖ. Değer, B. Eskişehirli
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