Approximation spaces, greedy classes and Lorentz spaces
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916613392957440 |
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| author | Berasategui, Miguel Berná, Pablo M. García, Andrea |
| author_facet | Berasategui, Miguel Berná, Pablo M. García, Andrea |
| contents | We characterize the approximation spaces of a broad class of bases - which includes almost greedy bases - in terms of weighted Lorentz spaces. For those bases, we also find necessary and sufficient conditions under which the approximation spaces and greedy classes are the same. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_13678 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Approximation spaces, greedy classes and Lorentz spaces Berasategui, Miguel Berná, Pablo M. García, Andrea Functional Analysis 46B15 We characterize the approximation spaces of a broad class of bases - which includes almost greedy bases - in terms of weighted Lorentz spaces. For those bases, we also find necessary and sufficient conditions under which the approximation spaces and greedy classes are the same. |
| title | Approximation spaces, greedy classes and Lorentz spaces |
| topic | Functional Analysis 46B15 |
| url | https://arxiv.org/abs/2411.13678 |