scientific article; zbMATH DE number 7779958

MaRDI QIDQ6179548

Rajat Kumar Singh, Romesh Kumar

Publication date: 18 December 2023

Full work available at URL: http://ajmaa.org/cgi-bin/paper.pl?string=v20n2/V20I2P5.tex

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zbMATH Keywords

composition operatorsLorentz spacesmultiplication operatorsexpansiveLi-Yorke chaotic

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Linear composition operators (47B33) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Cites Work

• Linear chaos
• Li-Yorke and distributionally chaotic operators
• Operators with dense, invariant, cyclic vector manifolds
• Composition operators and classical function theory
• Distributional chaos for operators on Banach spaces
• Expansivity and shadowing in linear dynamics
• Expansivity and strong structural stability for composition operators on \(L^p\) spaces
• Li-Yorke chaos for composition operators on \(L^p\)-spaces
• Distributional chaos for linear operators
• Some new functional spaces
• Li–Yorke chaos in linear dynamics
• Period Three Implies Chaos
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