Spectrum of weighted composition operators. Part XII. Kamowitz - Scheinberg theorem revisited
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909856809615360 |
|---|---|
| author | Kitover, Arkady Orhon, Mehmet |
| author_facet | Kitover, Arkady Orhon, Mehmet |
| contents | The well-known Kamowitz - Scheinberg theorem states that if $U$ is an automorphism of a commutative semi-simple Banach algebra and $U^n \neq I, n \in \mathds{N}$, then the spectrum of $U$ contains the unit circle. In this paper we present some results about the spectrum of weighted automorphisms of unital commutative semi-simple Banach algebras that considerably strengthen the statement of the Kamowitz - Scheinberg theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_16910 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spectrum of weighted composition operators. Part XII. Kamowitz - Scheinberg theorem revisited Kitover, Arkady Orhon, Mehmet Functional Analysis 47B33, 46J10, 46E25 The well-known Kamowitz - Scheinberg theorem states that if $U$ is an automorphism of a commutative semi-simple Banach algebra and $U^n \neq I, n \in \mathds{N}$, then the spectrum of $U$ contains the unit circle. In this paper we present some results about the spectrum of weighted automorphisms of unital commutative semi-simple Banach algebras that considerably strengthen the statement of the Kamowitz - Scheinberg theorem. |
| title | Spectrum of weighted composition operators. Part XII. Kamowitz - Scheinberg theorem revisited |
| topic | Functional Analysis 47B33, 46J10, 46E25 |
| url | https://arxiv.org/abs/2510.16910 |