A topology on the Fremlin tensor product of locally convex-solid vector lattices
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916243055837184 |
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| author | Zabeti, Omid |
| author_facet | Zabeti, Omid |
| contents | Suppose E and F are locally convex-solid vector lattices. Although we have a suitable vector lattice structure for the tensor product E and F (known as the Fremlin tensor product and denoted by E\otimesF), there is a lack of topological structure on E\otimes F, in general. In this note, we consider a topological attitude on E\otimes F that makes it into a locally convex-solid vector lattice, as well. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_07073 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A topology on the Fremlin tensor product of locally convex-solid vector lattices Zabeti, Omid Functional Analysis Suppose E and F are locally convex-solid vector lattices. Although we have a suitable vector lattice structure for the tensor product E and F (known as the Fremlin tensor product and denoted by E\otimesF), there is a lack of topological structure on E\otimes F, in general. In this note, we consider a topological attitude on E\otimes F that makes it into a locally convex-solid vector lattice, as well. |
| title | A topology on the Fremlin tensor product of locally convex-solid vector lattices |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2405.07073 |