An example of a minimal action of the free semi-group \(\mathbb{F}^{+}_{2}\) on the Hilbert space

DOI10.4310/MRL.2013.V20.N4.A7MaRDI QIDQ2449420

Sophie Grivaux, M. M. Roginskaya

Publication date: 8 May 2014

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.6144

zbMATH Keywords

hypercyclic vectorsorbits of linear operatorsinvariant subspace and invariant subset problems on Hilbert spacesminimal action of groups on a Hilbert spaceRead's type operators

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Cyclic vectors, hypercyclic and chaotic operators (47A16)

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Halmos problems and related results in the theory of invariant subspaces ⋮ The structure of almost-invariant half-spaces for some operators

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