Expansivity and strong structural stability for composition operators on \(L^p\) spaces
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Publication:2157350
DOI10.1007/s43037-022-00196-4OpenAlexW4285729039WikidataQ114216096 ScholiaQ114216096MaRDI QIDQ2157350
Publication date: 27 July 2022
Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.00353
Linear composition operators (47B33) Generic properties, structural stability of dynamical systems (37C20) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)
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Cites Work
- Topological transitivity and mixing of composition operators
- Expansivity and shadowing in linear dynamics
- Dynamics of generalized hyperbolic linear operators
- Generalized hyperbolicity and shadowing in \(L^p\) spaces
- Li-Yorke chaos for composition operators on \(L^p\)-spaces
- Pseudo-orbit shadowing in the \(C^1\) topology
- Expansive automorphisms of Banach spaces
- Lipschitz shadowing implies structural stability
- Subadditive mean ergodic theorems
- Shadowing and structural stability for operators
- A generalized Grobman-Hartman theorem
- Two problems on weighted shifts in linear dynamics
- Chaos and frequent hypercyclicity for composition operators
- On orbits of elements
- Expansive automorphisms of finite-dimensional vector spaces
- On a Theorem of P. Hartman
- Topological conjugacy and structural stability for discrete dynamical systems
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