L-valued integration
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866912575058345984 |
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| author | Jiang, Xingni van der Walt, Jan Harm Wortel, Marten |
| author_facet | Jiang, Xingni van der Walt, Jan Harm Wortel, Marten |
| contents | We develop integration theory for integrating functions taking values into a Dedekind complete unital $f$-algebra $\mathbb{L}$ with respect to $\mathbb{L}$-valued measures. We then discuss and prove completeness results of $\mathbb{L}$-valued $L^p$-spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_17306 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | L-valued integration Jiang, Xingni van der Walt, Jan Harm Wortel, Marten Functional Analysis 46G10 We develop integration theory for integrating functions taking values into a Dedekind complete unital $f$-algebra $\mathbb{L}$ with respect to $\mathbb{L}$-valued measures. We then discuss and prove completeness results of $\mathbb{L}$-valued $L^p$-spaces. |
| title | L-valued integration |
| topic | Functional Analysis 46G10 |
| url | https://arxiv.org/abs/2408.17306 |