| Autor: |
Doctor Jessica, Hodges Timothy, Kaschner Scott, McFarland Alexander, Thompson Derek |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
|
| Zdroj: |
Concrete Operators, Vol 9, Iss 1, Pp 75-85 (2022) |
| Druh dokumentu: |
article |
| ISSN: |
2299-3282 |
| DOI: |
10.1515/conop-2022-0129 |
| Popis: |
Previously, spectra of certain weighted composition operators W ѱ, φ on H2 were determined under one of two hypotheses: either φ converges under iteration to the Denjoy-Wolff point uniformly on all of 𝔻 rather than simply on compact subsets, or φ is “essentially linear fractional.” We show that if φ is a quadratic self-map of 𝔻 of parabolic type, then the spectrum of Wѱ, φ can be found when these maps exhibit both of the aforementioned properties, and we determine which symbols do so. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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