On the existence of infinite-dimensional closed subspaces of frequently hypercyclic vectors for \(T_f\)
From MaRDI portal
Publication:6183684
DOI10.14321/realanalexch.48.2.1676962925MaRDI QIDQ6183684
Publication date: 4 January 2024
Published in: Real Analysis Exchange (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/journals/real-analysis-exchange/volume-48/issue-2/On-the-Existence-of-Infinite-Dimensional-Closed-Subspaces-of-Frequently/10.14321/realanalexch.48.2.1676962925.full
Applications of dynamical systems (37N99) Linear composition operators (47B33) Cyclic vectors, hypercyclic and chaotic operators (47A16) Economic dynamics (91B55)
Cites Work
- Linear chaos
- Dynamics of composition operators on weighted Bergman spaces
- (Non-)weakly mixing operators and hypercyclicity sets
- Irregular vectors of Hilbert space operators
- Limits of hypercyclic and supercyclic operators
- Generalized hyperbolicity and shadowing in \(L^p\) spaces
- On the spectrum of weighted shifts
- Shift-like operators on \(L^p(X)\)
- Expansivity and strong structural stability for composition operators on \(L^p\) spaces
- Lineability criteria, with applications
- Hypercyclic subspaces and weighted shifts
- Lineability
- Linear chaos and frequent hypercyclicity
- Frequently hypercyclic operators
- Invariant Gaussian measures for operators on Banach spaces and linear dynamics
- Universal Vectors for Operators on Spaces of Holomorphic Functions
- Invariant Manifolds of Hypercyclic Vectors
- Invariant manifolds of hypercyclic vectors for the real scalar case
- Lineability and spaceability of sets of functions on $\mathbb {R}$
- Linear dynamics induced by odometers
- Chaos and frequent hypercyclicity for composition operators
- Existence and non-existence of frequently hypercyclic subspaces for weighted shifts
- Difference sets and frequently hypercyclic weighted shifts
- Frequently hypercyclic operators: Recent advances and open problems
- Banach spaces of hypercyclic vectors
- On spaceability of shift-like operators on \(L^p\)
This page was built for publication: On the existence of infinite-dimensional closed subspaces of frequently hypercyclic vectors for \(T_f\)