Reflexivity of the space of transversal distributions
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866912879559573504 |
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| author | Kališnik, Jure |
| author_facet | Kališnik, Jure |
| contents | We show that the Fréchet space $\mathord{\mathcal{C}^{\infty}}(P)$ of smooth functions on the total space of a surjective submersion $π:P\to M$ is a reflexive $\mathord{\mathcal{C}^{\infty}_{c}}(M)$-module. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_07257 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Reflexivity of the space of transversal distributions Kališnik, Jure Functional Analysis 46A04, 46A08, 46A13, 46A25, 46F05, 46G05, 46H25 We show that the Fréchet space $\mathord{\mathcal{C}^{\infty}}(P)$ of smooth functions on the total space of a surjective submersion $π:P\to M$ is a reflexive $\mathord{\mathcal{C}^{\infty}_{c}}(M)$-module. |
| title | Reflexivity of the space of transversal distributions |
| topic | Functional Analysis 46A04, 46A08, 46A13, 46A25, 46F05, 46G05, 46H25 |
| url | https://arxiv.org/abs/2211.07257 |