Hypercyclic operators on topological vector spaces

DOI10.1112/jlms/jdr082zbMath1263.47010arXiv1008.3267OpenAlexW2144243726MaRDI QIDQ2909048

Stanislav Shkarin

Publication date: 29 August 2012

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.3267

zbMATH Keywords

Fréchet spacesinductive limithypercyclic operators on topological vector spaceslocally convex direct sum

Mathematics Subject Classification ID

Topological dynamics (37B99) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (7)

A hypercyclicity criterion for non-metrizable topological vector spaces ⋮ Set-valued chaos in linear dynamics ⋮ On the existence of polynomials with chaotic behaviour ⋮ Chaos for convolution operators on the space of entire functions of infinitely many complex variables ⋮ Dynamics of shift operators on non-metrizable sequence spaces ⋮ Chaotic behaviour on invariant sets of linear operators ⋮ Linear subsets of nonlinear sets in topological vector spaces

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