Dunford property for composition operators on $H^p$-spaces
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909157509038080 |
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| author | Gallardo-Gutiérrez, Eva A. González-Doña, F. Javier Monsalve-López, Miguel |
| author_facet | Gallardo-Gutiérrez, Eva A. González-Doña, F. Javier Monsalve-López, Miguel |
| contents | The Dunford property $(C)$ for composition operators on $H^p$-spaces ($1<p<\infty$), as well as for their adjoints, is completely characterized within the class of those induced by linear fractional transformations of the unit disc. As a consequence, it is shown that the Dunford property is stable in such a class addressing a particular instance of a question posed by Laursen and Neumann. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2404_01939 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dunford property for composition operators on $H^p$-spaces Gallardo-Gutiérrez, Eva A. González-Doña, F. Javier Monsalve-López, Miguel Functional Analysis 47A15, 47A11, 47B37, 47B38 The Dunford property $(C)$ for composition operators on $H^p$-spaces ($1<p<\infty$), as well as for their adjoints, is completely characterized within the class of those induced by linear fractional transformations of the unit disc. As a consequence, it is shown that the Dunford property is stable in such a class addressing a particular instance of a question posed by Laursen and Neumann. |
| title | Dunford property for composition operators on $H^p$-spaces |
| topic | Functional Analysis 47A15, 47A11, 47B37, 47B38 |
| url | https://arxiv.org/abs/2404.01939 |