Hypercyclicity for the elements of the commutant of an operator

DOI10.1007/s00020-014-2129-xzbMath1315.47009OpenAlexW1997153058MaRDI QIDQ484787

Fernando León-Saavedra, González, Manuel

Publication date: 7 January 2015

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

Full work available at URL: http://hdl.handle.net/10902/8000

zbMATH Keywords

composition operatorhypercyclic operatorsCesaro operatorcommutant of an operator

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operators on function spaces (general) (47B38) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (2)

Distributionally chaotic families of operators on Fréchet spaces ⋮ Extended eigenvalues for Cesàro operators

Cites Work

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• Strongly compact algebras associated with composition operators
• Linear chaos
• Operators with dense, invariant, cyclic vector manifolds
• The fine spectrum of the Cesàro operator in \(\ell _ p(1<p<\infty)\)
• Limits of hypercyclic and supercyclic operators
• On operators \(T\) such that \(f(T)\) is hypercyclic
• On the spectrum of the Cesàro operator on spaces of analytic functions
• Composition Semigroups and the Cesàro Operator OnH ^p
• On operators T such that f(T) is hypercyclic
• Hypercyclic Weighted Shifts
• On the Salas theorem and hypercyclicity of \(f(T)\)

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