Unicellularity of the multiplication operator on Banach spaces of formal power series (Q2759175)
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: Unicellularity of the multiplication operator on Banach spaces of formal power series |
scientific article; zbMATH DE number 1681008
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unicellularity of the multiplication operator on Banach spaces of formal power series |
scientific article; zbMATH DE number 1681008 |
Statements
Unicellularity of the multiplication operator on Banach spaces of formal power series (English)
0 references
11 December 2001
0 references
invariant subspace lattice
0 references
Banach space of formal power series
0 references
cyclic vector
0 references
unicellular operator
0 references
shift operator
0 references
weighted \(\ell^p\) space
0 references
Let \(\ell^p(\beta)\) be the weighted space of sequences defined for a weight \(\beta=(\beta_n)\). The paper gives a sufficient condition for unicellularity of the shift operator in \(\ell^p(\beta)\) in terms of some estimations of the sequence \(\beta\).
0 references
