Dynamics of weighted shifts on directed trees
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Publication:6045844
DOI10.1512/iumj.2023.72.9315arXiv2012.15542OpenAlexW3115830219MaRDI QIDQ6045844
Karl-Goswin Grosse-Erdmann, Dimitris Papathanasiou
Publication date: 12 May 2023
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.15542
Trees (05C05) Sequence spaces (including Köthe sequence spaces) (46A45) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Cyclic vectors, hypercyclic and chaotic operators (47A16)
Cites Work
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- Universal properties of harmonic functions on trees
- Hypercyclicity of shifts on weighted \(L^{p}\) spaces of directed trees
- Some classes of operators with symbol on the Lipschitz space of a tree
- Hereditarily hypercylic operators
- Existence of hypercyclic operators on topological vector spaces
- A decreasing rearrangement for functions on homogeneous trees
- Upper frequent hypercyclicity and related notions
- The forward and backward shift on the Lipschitz space of a tree
- Hypercyclic operators failing the hypercyclicity criterion on classical Banach spaces
- Weighted shifts on directed trees
- Linear chaos and frequent hypercyclicity
- Invariant Gaussian measures for operators on Banach spaces and linear dynamics
- A Hypercyclic Operator whose Adjoint is Also Hypercyclic
- On hypercyclic operators on Banach spaces
- Topologically mixing hypercyclic operators
- Hypercyclic operators that commute with the Bergman backward shift
- Hypercyclic Weighted Shifts
- FREQUENTLY HYPERCYCLIC BILATERAL SHIFTS
- On orbits of elements
- BANACH SPACES WITH SEPARABLE DUALS SUPPORT DUAL HYPERCYCLIC OPERATORS
- Frequently dense harmonic functions and universal martingales on trees
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