Notes on subspace-hypercyclic operators

DOI10.1016/j.jmaa.2012.08.002zbMath1272.47010OpenAlexW2021969487MaRDI QIDQ713477

Hamid Rezaei

Publication date: 29 October 2012

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.08.002

zbMATH Keywords

linear dynamicshypercyclicitysubspace hypercyclicityBourdon-Herrero theoremdynamics of linear operators on Banach spaces

Mathematics Subject Classification ID

Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (16)

On subspace-diskcyclicity ⋮ Subspace-hypercyclicity of conditional weighted translations on locally compact groups ⋮ About Subspace-Frequently Hypercyclic Operators ⋮ Hypercyclic orbits intersect subspaces in wild ways ⋮ Subspace-hypercyclic weighted shifts ⋮ On operators with orbits dense relative to nontrivial subspaces ⋮ Hypercyclic operators are subspace hypercyclic ⋮ Subspace hypercyclicity for Toeplitz operators ⋮ Subspace-hypercyclic abelian semigroups of matrices on \(\mathbb{R}^n\) ⋮ Unnamed Item ⋮ Some questions about subspace-hypercyclic operators ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Subspace-hypercyclic abelian linear semigroups ⋮ M-hypercyclicity of \(C_0\)-semigroup and SVEP of its generator ⋮ Subspace-diskcyclic sequences of linear operators

Cites Work

• Linear chaos
• Subspace hypercyclicity
• Operators with dense, invariant, cyclic vector manifolds
• Non-sequential weak supercyclicity and hypercyclicity
• Limits of hypercyclic and supercyclic operators
• Universal and chaotic multipliers on spaces of operators
• Hypercyclic and cyclic vectors
• Frequently dense orbits
• Frequently hypercyclic operators
• Invariant Manifolds of Hypercyclic Vectors
• Invariant manifolds of hypercyclic vectors for the real scalar case
• Somewhere dense orbits are everywhere dense
• On orbits of elements
• Unnamed Item
• Unnamed Item

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