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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2605.06120 |
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| _version_ | 1866917467966668800 |
|---|---|
| author | Escolano, Gerardo M. |
| author_facet | Escolano, Gerardo M. |
| contents | Let $\mathfrak{J}$ be a JB$^*$-algebra with no quotients isomorphic to $S_2(\mathbb{C})$. Let $μ$ be a local quasi-linear Jordan functional on $\mathfrak{J}_{sa}$. We show that $μ$ is a linear functional on $\mathfrak{J}_{sa}$ if and only if the restriction of $μ$ to the closed unit ball of $\mathfrak{J}_{sa}$ is uniformly weakly continuous. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_06120 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Quasi-linearity problem for Jordan-Banach algebras: a topological characterization Escolano, Gerardo M. Operator Algebras Let $\mathfrak{J}$ be a JB$^*$-algebra with no quotients isomorphic to $S_2(\mathbb{C})$. Let $μ$ be a local quasi-linear Jordan functional on $\mathfrak{J}_{sa}$. We show that $μ$ is a linear functional on $\mathfrak{J}_{sa}$ if and only if the restriction of $μ$ to the closed unit ball of $\mathfrak{J}_{sa}$ is uniformly weakly continuous. |
| title | The Quasi-linearity problem for Jordan-Banach algebras: a topological characterization |
| topic | Operator Algebras |
| url | https://arxiv.org/abs/2605.06120 |