Perturbations of hypercyclic vectors.

DOI10.1016/S0022-247X(02)00207-XzbMath1039.47008MaRDI QIDQ1856818

Nathan S. Feldman

Publication date: 11 February 2003

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

zbMATH Keywords

hypercyclic operatorsperturbations of a hypercyclic vector

Mathematics Subject Classification ID

Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (17)

\(\Gamma\)-supercyclicity ⋮ On quasi-continuous dynamical systems and transitivity ⋮ Hypercyclicity of the tensor products of multiplication operators on Hardy spaces ⋮ Hereditarily hypercyclic operators and mixing ⋮ Unnamed Item ⋮ \(\varepsilon\)-hypercyclic operators that are not \(\delta\)-hypercyclic for \(\delta < \varepsilon\) ⋮ Cyclic operators with finite support ⋮ Hereditarily transitive tuples ⋮ Faber-hypercyclic operators ⋮ On the supercyclicity and hypercyclicity of the operator algebra ⋮ Linear semigroups with coarsely dense orbits ⋮ Epsilon-hypercyclic operators on a Hilbert space ⋮ Epsilon-hypercyclic operators ⋮ Irregular vectors of Hilbert space operators ⋮ Orbits of homogeneous polynomials on Banach spaces ⋮ Coarse topological transitivity on open cones and coarsely \(J\)-class and \(D\)-class operators ⋮ FIXED POINTS OF BSC-SEQUENCES

Cites Work

• Unnamed Item
• Unnamed Item
• Operators with dense, invariant, cyclic vector manifolds
• Hereditarily hypercylic operators
• Cyclic phenomena for composition operators
• Universal Vectors for Operators on Spaces of Holomorphic Functions
• Somewhere dense orbits are everywhere dense
• Hypercyclic Weighted Shifts
• On orbits of elements

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