The weak Banach-Saks property for Hölder spaces
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908862408294400 |
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| author | Górka, Prezemysław Sanchiz, Mauro |
| author_facet | Górka, Prezemysław Sanchiz, Mauro |
| contents | We investigate the weak Banach--Saks property in the setting of Hölder spaces over metric spaces. We show that, for every infinite metric space $(M,d)$ and every $α\in (0,1]$, the Hölder space $C^α(M)$ fails to have the weak Banach--Saks property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_02977 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The weak Banach-Saks property for Hölder spaces Górka, Prezemysław Sanchiz, Mauro Functional Analysis 46B26, 46E30, 46E15 We investigate the weak Banach--Saks property in the setting of Hölder spaces over metric spaces. We show that, for every infinite metric space $(M,d)$ and every $α\in (0,1]$, the Hölder space $C^α(M)$ fails to have the weak Banach--Saks property. |
| title | The weak Banach-Saks property for Hölder spaces |
| topic | Functional Analysis 46B26, 46E30, 46E15 |
| url | https://arxiv.org/abs/2603.02977 |