Monge-Kantorovich's duality for separable Baire measures in completely regular Hausdorff spaces
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915504162078720 |
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| author | Bachir, Mohammed |
| author_facet | Bachir, Mohammed |
| contents | We generalize the classical Monge-Kantorovich duality--typically established for tight (Radon) probability measures--to separable Baire probability measures, which are strictly more general than tight measures on completely regular Hausdorff spaces. Within this broader framework, we also demonstrate the existence of solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_03929 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Monge-Kantorovich's duality for separable Baire measures in completely regular Hausdorff spaces Bachir, Mohammed Optimization and Control Functional Analysis 49Q22, 46N10, 49N15, 90C46, 28C05 We generalize the classical Monge-Kantorovich duality--typically established for tight (Radon) probability measures--to separable Baire probability measures, which are strictly more general than tight measures on completely regular Hausdorff spaces. Within this broader framework, we also demonstrate the existence of solutions. |
| title | Monge-Kantorovich's duality for separable Baire measures in completely regular Hausdorff spaces |
| topic | Optimization and Control Functional Analysis 49Q22, 46N10, 49N15, 90C46, 28C05 |
| url | https://arxiv.org/abs/2503.03929 |