Quasi-greedy Markushevich bases, duality and norming subspaces
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866918156297043968 |
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| author | Berasategui, Miguel |
| author_facet | Berasategui, Miguel |
| contents | We prove that if $\mathcal{X}$ is a quasi-greedy Markushevich basis of a Banach space $\mathbb{X}$, its dual basis $\mathcal{X}^*$ spans a norming subspace of $\mathbb{X}^*$. We also prove this result for weaker forms of quasi-greediness, and study the cases of other greedy-like properties from the literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_06398 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quasi-greedy Markushevich bases, duality and norming subspaces Berasategui, Miguel Functional Analysis 41A65, 46B15, 46B20 We prove that if $\mathcal{X}$ is a quasi-greedy Markushevich basis of a Banach space $\mathbb{X}$, its dual basis $\mathcal{X}^*$ spans a norming subspace of $\mathbb{X}^*$. We also prove this result for weaker forms of quasi-greediness, and study the cases of other greedy-like properties from the literature. |
| title | Quasi-greedy Markushevich bases, duality and norming subspaces |
| topic | Functional Analysis 41A65, 46B15, 46B20 |
| url | https://arxiv.org/abs/2510.06398 |