Does a typical ℓ_{𝑝}-space contraction have a non-trivial invariant subspace?
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Publication:3382273
DOI10.1090/tran/8446OpenAlexW3156680493MaRDI QIDQ3382273
Étienne Matheron, Sophie Grivaux, Quentin Menet
Publication date: 21 September 2021
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.02016
invariant subspacessupercyclic vectorsLomonosov theoremtypical properties of operators\( \ell_p\)-spacesPolish topologies
Baire category, Baire spaces (54E52) Invariant subspaces of linear operators (47A15) Cyclic vectors, hypercyclic and chaotic operators (47A16)
Related Items (5)
On the complete metrisability of spaces of contractive semigroups ⋮ Common frequent hypercyclicity ⋮ Local spectral properties of typical contractions on \(\ell_p\)-spaces ⋮ The space of contractive \(C_0\)-semigroups is a Baire space ⋮ Recurrence properties for linear dynamical systems: an approach via invariant measures
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