Operator on the space of rapidly decreasing functions with all non-zero vectors hypercyclic

DOI10.1016/j.aim.2013.05.017zbMath1293.47008OpenAlexW2031345959MaRDI QIDQ2437424

Michał Goliński

Publication date: 3 March 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2013.05.017

zbMATH Keywords

invariant subsetshypercyclic vectors

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (4)

Dynamics and spectra of composition operators on the Schwartz space ⋮ Invariant subspaces for non-normable Fréchet spaces ⋮ The invariant subspace problem for the space of smooth functions on the real line ⋮ Invariant subspaces for Fréchet spaces without continuous norm

Cites Work

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• Linear chaos
• Invariant subspace problem for classical spaces of functions
• Limits of hypercyclic and supercyclic operators
• Hypercyclic operators on non-normable Fréchet spaces
• Existence of hypercyclic operators on topological vector spaces
• The invariant subspace problem for a class of Banach spaces. II: Hypercyclic operators
• A Short Proof Concerning the Invariant Subspace Problem
• Invariant Manifolds of Hypercyclic Vectors

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