A characterization of complete topological vector spaces with applications to spaces of measurable functions
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866929720104321024 |
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| author | Ansorena, José L. Marcos, Alejandro |
| author_facet | Ansorena, José L. Marcos, Alejandro |
| contents | The aim of this paper is twofold. Firstly, we give easy-to-handle criteria to determine whether a given family of subsets of a vector space is a neighbourhood basis of the origin for a complete vector topology. Then, we apply these criteria to construct quite general complete topological vector spaces of measurable functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_13587 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A characterization of complete topological vector spaces with applications to spaces of measurable functions Ansorena, José L. Marcos, Alejandro Functional Analysis 46-01 (Primary), 46E30 (Secondary) The aim of this paper is twofold. Firstly, we give easy-to-handle criteria to determine whether a given family of subsets of a vector space is a neighbourhood basis of the origin for a complete vector topology. Then, we apply these criteria to construct quite general complete topological vector spaces of measurable functions. |
| title | A characterization of complete topological vector spaces with applications to spaces of measurable functions |
| topic | Functional Analysis 46-01 (Primary), 46E30 (Secondary) |
| url | https://arxiv.org/abs/2502.13587 |