The Riesz-Kantorovich formulas for $\mathbb{L}$-vector lattices
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910010023346176 |
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| author | Chamberlain, Tomas Wortel, Marten |
| author_facet | Chamberlain, Tomas Wortel, Marten |
| contents | Let $\mathbb{L}$ be a Dedekind complete unital $f$-algebra. We prove the Riesz-Kantorovich formulas for order bounded $\mathbb{L}$-module homomorphisms from a directed partially ordered $\mathbb{L}$-module with the Riesz Decomposition Property into a Dedekind complete $\mathbb{L}$-vector lattice satisfying an additional mild condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_03206 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Riesz-Kantorovich formulas for $\mathbb{L}$-vector lattices Chamberlain, Tomas Wortel, Marten Functional Analysis 46A40 Let $\mathbb{L}$ be a Dedekind complete unital $f$-algebra. We prove the Riesz-Kantorovich formulas for order bounded $\mathbb{L}$-module homomorphisms from a directed partially ordered $\mathbb{L}$-module with the Riesz Decomposition Property into a Dedekind complete $\mathbb{L}$-vector lattice satisfying an additional mild condition. |
| title | The Riesz-Kantorovich formulas for $\mathbb{L}$-vector lattices |
| topic | Functional Analysis 46A40 |
| url | https://arxiv.org/abs/2602.03206 |