Hypercyclicity, supercyclicity, and cyclicity of a weighted composition operator on \(\ell^p\) spaces (Q2059916)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Hypercyclicity, supercyclicity, and cyclicity of a weighted composition operator on \(\ell^p\) spaces |
scientific article; zbMATH DE number 7442621
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hypercyclicity, supercyclicity, and cyclicity of a weighted composition operator on \(\ell^p\) spaces |
scientific article; zbMATH DE number 7442621 |
Statements
Hypercyclicity, supercyclicity, and cyclicity of a weighted composition operator on \(\ell^p\) spaces (English)
0 references
13 December 2021
0 references
The authors show that weighted composition operators provide examples which clarify the notions of hypercyclicity, supercyclicity and cyclicity. They obtain a characterization of a hypercyclic weighted composition operator on \(l^{p}\) spaces. They also give two necessary conditions and a sufficient condition for the cyclicity of a weighted composition operator on \(l^{p}\) spaces (\(1 \leq p < \infty\)).
0 references
cyclicity
0 references
hypercyclicity
0 references
supercyclicity
0 references
composition operator
0 references
dense
0 references
separable Banach space
0 references
