Operator $K$-Positivity Preserver
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914605378306048 |
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| author | Langer, Lars-Luca |
| author_facet | Langer, Lars-Luca |
| contents | We characterize positivity preserving maps $T: B(\mathcal{H})_h \otimes \mathbb{R}[x_1, \dots, x_n] \to B(\mathcal{H})_h \otimes \mathbb{R}[x_1, \dots, x_n]$ on $\mathbb{R}^n$ and on compact sets $K \subseteq \mathbb{R}^n$. This also characterizes local operator moment sequences and general operator moment sequences via positivity preserving maps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_27329 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Operator $K$-Positivity Preserver Langer, Lars-Luca Functional Analysis 44A60 (Primary), 47A57, 47B38 (Secondary) We characterize positivity preserving maps $T: B(\mathcal{H})_h \otimes \mathbb{R}[x_1, \dots, x_n] \to B(\mathcal{H})_h \otimes \mathbb{R}[x_1, \dots, x_n]$ on $\mathbb{R}^n$ and on compact sets $K \subseteq \mathbb{R}^n$. This also characterizes local operator moment sequences and general operator moment sequences via positivity preserving maps. |
| title | Operator $K$-Positivity Preserver |
| topic | Functional Analysis 44A60 (Primary), 47A57, 47B38 (Secondary) |
| url | https://arxiv.org/abs/2605.27329 |