Banach function spaces done right
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910463375179776 |
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| author | Lorist, Emiel Nieraeth, Zoe |
| author_facet | Lorist, Emiel Nieraeth, Zoe |
| contents | In this survey, we discuss the definition of a (quasi-)Banach function space. We advertise the original definition by Zaanen and Luxemburg, which does not have various issues introduced by other, subsequent definitions. Moreover, we prove versions of well-known basic properties of Banach function spaces in the setting of quasi-Banach function spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_01173 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Banach function spaces done right Lorist, Emiel Nieraeth, Zoe Functional Analysis Classical Analysis and ODEs 46E30 In this survey, we discuss the definition of a (quasi-)Banach function space. We advertise the original definition by Zaanen and Luxemburg, which does not have various issues introduced by other, subsequent definitions. Moreover, we prove versions of well-known basic properties of Banach function spaces in the setting of quasi-Banach function spaces. |
| title | Banach function spaces done right |
| topic | Functional Analysis Classical Analysis and ODEs 46E30 |
| url | https://arxiv.org/abs/2307.01173 |