A general approach to Read's type constructions of operators without non-trivial invariant closed subspaces

DOI10.1112/plms/pdu012zbMath1305.47008arXiv1301.6143OpenAlexW3105641989MaRDI QIDQ2922877

Sophie Grivaux, M. M. Roginskaya

Publication date: 15 October 2014

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

Full work available at URL: https://arxiv.org/abs/1301.6143

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Invariant subspaces of linear operators (47A15) Duality and reflexivity in normed linear and Banach spaces (46B10) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (8)

Convex analysis and non-trivial invariant subspaces ⋮ Halmos problems and related results in the theory of invariant subspaces ⋮ Do some nontrivial closed 𝑧-invariant subspaces have the division property? ⋮ The structure of almost-invariant half-spaces for some operators ⋮ Dynamical properties of random walks ⋮ Invariant subspaces for non-normable Fréchet spaces ⋮ Does a typical ℓ_{𝑝}-space contraction have a non-trivial invariant subspace? ⋮ Hyperinvariant subspaces for sets of polynomially compact operators

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