Approximation by chaotic operators and by conjugate classes.

DOI10.1016/S0022-247X(03)00332-9zbMath1046.47007OpenAlexW2053387676MaRDI QIDQ1406529

Juan Bès, Kit C. Chan

Publication date: 4 September 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00332-9

zbMATH Keywords

cyclic operatorhypercyclic operatorsupercyclic operatorhypercyclic subspace

Mathematics Subject Classification ID

Linear operator approximation theory (47A58) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items

Hypercyclic subspaces in omega, Remarks on multiples of distributionally chaotic operators, Common hypercyclic vectors for the conjugate class of a hypercyclic operator, Common hypercyclic vectors for the unitary orbit of a hypercyclic operator, Chaotic extensions of operators on Hilbert subspaces, Existence and nonexistence of hypercyclic semigroups

Cites Work

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• Limits of hypercyclic and supercyclic operators
• Hypercyclic operators on non-normable Fréchet spaces
• Linear structure of hypercyclic vectors
• Sums of hypercyclic operators.
• Weakly supercyclic operators
• The invariant subspace problem for a class of Banach spaces. II: Hypercyclic operators
• A Banach Space which Admits No Chaotic Operator
• Universal Vectors for Operators on Spaces of Holomorphic Functions
• Most Similarity Orbits are Strongly Dense
• Universal families and hypercyclic operators
• Sums and Products of Cyclic Operators
• Supercyclicity and weighted shifts
• CHAOS FOR BACKWARD SHIFT OPERATORS
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