Local spectral properties of typical contractions on \(\ell_p\)-spaces
DOI10.1007/s10476-022-0168-0zbMath1503.47009arXiv2105.04635OpenAlexW4200633935MaRDI QIDQ2166138
Sophie Grivaux, Étienne Matheron
Publication date: 23 August 2022
Published in: Analysis Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.04635
Baire category, Baire spaces (54E52) Invariant subspaces of linear operators (47A15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Cyclic vectors, hypercyclic and chaotic operators (47A16) Local spectral properties of linear operators (47A11) Lists of open problems (00A27)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On typical properties of Hilbert space operators
- A ``typical contraction is unitary
- Operators with dense, invariant, cyclic vector manifolds
- Hyponormal operators with thick spectra have invariant subspaces
- On the structure of contraction operators. II
- Invariant subspaces for operators with Bishop's property \((\beta{})\) and thick spectrum
- The single valued extension property on a Banach space
- Invariant subspaces and localizable spectrum
- Completely indecomposable operators and a uniqueness theorem of Cartwright-Levinson type
- Distributional chaos for linear operators
- A taste of topology
- On operators with closed analytic core
- Does a typical ℓ_{𝑝}-space contraction have a non-trivial invariant subspace?
- Invariant Gaussian measures for operators on Banach spaces and linear dynamics
- On the spectrum of frequently hypercyclic operators
- An operator satisfying Dunford's condition (C) but without bishop's property (β)
- Analytical Functional Models and Local Spectral Theory
- Power Regular Operators
- Linear dynamical systems on Hilbert spaces: typical properties and explicit examples
- On Extending Commutative Semigroups of Isometries
- Sur la Theorie Spectrale Locale et Limite des Nilpotents
- Spectral theory of linear operators and spectral systems in Banach algebras
- On the Salas theorem and hypercyclicity of \(f(T)\)
This page was built for publication: Local spectral properties of typical contractions on \(\ell_p\)-spaces