A density version of a theorem of Banach
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909625309200384 |
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| author | Ross, David A. |
| author_facet | Ross, David A. |
| contents | The S-measure construction from nonstandard analysis is used to prove an extension of a result on the intersection of sets in a finitely-additive measure space. This is then used to give a density-limit version of a representation theorem of Banach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_11193 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A density version of a theorem of Banach Ross, David A. Functional Analysis Logic 28E05 (Primary) 26E35, 28A20 (Secondary) The S-measure construction from nonstandard analysis is used to prove an extension of a result on the intersection of sets in a finitely-additive measure space. This is then used to give a density-limit version of a representation theorem of Banach. |
| title | A density version of a theorem of Banach |
| topic | Functional Analysis Logic 28E05 (Primary) 26E35, 28A20 (Secondary) |
| url | https://arxiv.org/abs/2411.11193 |