On automatic continuity of operators from ordered to topological vector spaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
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| _version_ | 1866911607242620928 |
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| author | Emelyanov, Eduard Gorokhova, Svetlana |
| author_facet | Emelyanov, Eduard Gorokhova, Svetlana |
| contents | We study continuity and boundedness of order-to-topology bounded and order-to topology continuous operators from ordered to topological vector spaces. Several results on automatic continuity of operators from ordered Frechet spaces to topological vector spaces are included. Levi and Lebesgue operators especially are investigated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_00283 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On automatic continuity of operators from ordered to topological vector spaces Emelyanov, Eduard Gorokhova, Svetlana Functional Analysis 46A40, 46B42, 47B02, 47B07, 47B60, 47B65 We study continuity and boundedness of order-to-topology bounded and order-to topology continuous operators from ordered to topological vector spaces. Several results on automatic continuity of operators from ordered Frechet spaces to topological vector spaces are included. Levi and Lebesgue operators especially are investigated. |
| title | On automatic continuity of operators from ordered to topological vector spaces |
| topic | Functional Analysis 46A40, 46B42, 47B02, 47B07, 47B60, 47B65 |
| url | https://arxiv.org/abs/2601.00283 |