Mean ergodicity of multiplication operators in weighted Dirichlet spaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917946556678144 |
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| author | Bonilla, Antonio Seco, Daniel |
| author_facet | Bonilla, Antonio Seco, Daniel |
| contents | We characterize bounded multiplication operators in weighted Dirichlet spaces that are power bounded, Cesàro bounded and uniformly Kreiss. Moreover, we show the equivalence in such spaces between mean ergodicity and Cesàro boundedness for multiplication operators. We perform the same study for adjoints of multiplication operators. As a particular example, we obtain a uniform mean ergodic multiplication operator in Dirichlet spaces that fails to be power bounded. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_03678 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mean ergodicity of multiplication operators in weighted Dirichlet spaces Bonilla, Antonio Seco, Daniel Complex Variables Functional Analysis Primary, 47A35. Secondary, 46E15 We characterize bounded multiplication operators in weighted Dirichlet spaces that are power bounded, Cesàro bounded and uniformly Kreiss. Moreover, we show the equivalence in such spaces between mean ergodicity and Cesàro boundedness for multiplication operators. We perform the same study for adjoints of multiplication operators. As a particular example, we obtain a uniform mean ergodic multiplication operator in Dirichlet spaces that fails to be power bounded. |
| title | Mean ergodicity of multiplication operators in weighted Dirichlet spaces |
| topic | Complex Variables Functional Analysis Primary, 47A35. Secondary, 46E15 |
| url | https://arxiv.org/abs/2503.03678 |