Chaotic unbounded differentiation operators

DOI10.1007/BF01299846zbMath1003.47004OpenAlexW1986218177MaRDI QIDQ5943632

Steven M. Seubert, Kit C. Chan, Juan Bès

Publication date: 27 September 2001

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01299846

zbMATH Keywords

Hardy spaceLaplacian operatorchaotic unbounded differentiation operatorshypercyclic vectorsunbounded differentiation operators

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Structure theory of linear operators (47A65) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (11)

On linear chaos in function spaces ⋮ Chaotic behavior of the Riesz transforms for Hermite expansions ⋮ Distributionally chaotic families of operators on Fréchet spaces ⋮ Hypercyclicity and supercyclicity of unbounded operators ⋮ Linear chaotic systems in generalized Fock-Bargmann spaces ⋮ On a chaotic weighted shift \(z^pd^{p+1}/dz^{p+1}\) of order \(p\) in Bargmann space ⋮ On the chaoticity of some tensor product weighted backward shift operators acting on some tensor product Fock-Bargmann spaces ⋮ On chaoticity of the sum of chaotic shifts with their adjoints in Hilbert space and applications to some weighted shifts acting on some Fock-Bargmann spaces ⋮ A short note on the chaoticity of a weight shift on concrete orthonormal basis associated to some Fock-Bargmann space ⋮ Chaotic weighted shifts in Bargmann space ⋮ A complete spectral analysis of generalized Gribov-Intissar's operator in Bargmann space

Cites Work

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• Linear structure of hypercyclic vectors
• Linear chaos and approximation
• Cyclic phenomena for composition operators
• Universal Vectors for Operators on Spaces of Holomorphic Functions
• Chaos in Linear Distributed Systems
• TOPOLOGICAL CHAOS FOR A CLASS OF LINEAR MODELS
• Local spectral theory and orbits of operators
• Universal families and hypercyclic operators
• On orbits of elements

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