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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.19661 |
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| _version_ | 1866917464788434944 |
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| author | Zabeti, Omid |
| author_facet | Zabeti, Omid |
| contents | Let $E$ and $F$ be locally solid vector lattices. In this short note, we establish a locally solid topology on the Fremlin tensor product $E\overline{\otimes}F$ and we denote it by $τ_{E\overline{\otimes}F}$. It extends the Fremlin projective tensor product in the setting of Banach lattices. We show that $τ_{E\overline{\otimes}F}$ is Hausdorff provided that both $E$ and $F$ are Hausdorff. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_19661 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A topology on the Fremlin tensor product between locally solid vector lattices Zabeti, Omid Functional Analysis Let $E$ and $F$ be locally solid vector lattices. In this short note, we establish a locally solid topology on the Fremlin tensor product $E\overline{\otimes}F$ and we denote it by $τ_{E\overline{\otimes}F}$. It extends the Fremlin projective tensor product in the setting of Banach lattices. We show that $τ_{E\overline{\otimes}F}$ is Hausdorff provided that both $E$ and $F$ are Hausdorff. |
| title | A topology on the Fremlin tensor product between locally solid vector lattices |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2601.19661 |