Fubini's Theorem for Daniell Integrals
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
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| _version_ | 1866916142997569536 |
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| author | Kersting, Götz Rompf, Gerhard |
| author_facet | Kersting, Götz Rompf, Gerhard |
| contents | We show that in the theory of Daniell integration iterated integrals may always be formed, and the order of integration may always be interchanged. By this means, we discuss product integrals and show that the related Fubini theorem holds in full generality. The results build on a density theorem on Riesz tensor products due to Fremlin, and on the Fubini-Stone Theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_00762 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Fubini's Theorem for Daniell Integrals Kersting, Götz Rompf, Gerhard Functional Analysis Primary 28C05, Secondary 28A35 We show that in the theory of Daniell integration iterated integrals may always be formed, and the order of integration may always be interchanged. By this means, we discuss product integrals and show that the related Fubini theorem holds in full generality. The results build on a density theorem on Riesz tensor products due to Fremlin, and on the Fubini-Stone Theorem. |
| title | Fubini's Theorem for Daniell Integrals |
| topic | Functional Analysis Primary 28C05, Secondary 28A35 |
| url | https://arxiv.org/abs/2208.00762 |