Linear Operators $T:\mathbb{R}[x_1,\dots,x_n]\to\mathbb{R}[x_1,\dots,x_n]$ and $K$-Positivity Preserver: A Short Review
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910007620009984 |
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| author | di Dio, Philipp J. |
| author_facet | di Dio, Philipp J. |
| contents | In the current short review we present the latest developments on linear maps $T:\mathbb{R}[x_1,\dots,x_n]\to\mathbb{R}[x_1,\dots,x_n]$, especially of $K$-positivity preserver, i.e., $Tp\geq 0$ on $K\subseteq\mathbb{R}^n$ for all $p\in\mathbb{R}[x_1,\dots,x_n]$ with $p\geq 0$ on $K$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_00967 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Linear Operators $T:\mathbb{R}[x_1,\dots,x_n]\to\mathbb{R}[x_1,\dots,x_n]$ and $K$-Positivity Preserver: A Short Review di Dio, Philipp J. Functional Analysis Algebraic Geometry In the current short review we present the latest developments on linear maps $T:\mathbb{R}[x_1,\dots,x_n]\to\mathbb{R}[x_1,\dots,x_n]$, especially of $K$-positivity preserver, i.e., $Tp\geq 0$ on $K\subseteq\mathbb{R}^n$ for all $p\in\mathbb{R}[x_1,\dots,x_n]$ with $p\geq 0$ on $K$. |
| title | Linear Operators $T:\mathbb{R}[x_1,\dots,x_n]\to\mathbb{R}[x_1,\dots,x_n]$ and $K$-Positivity Preserver: A Short Review |
| topic | Functional Analysis Algebraic Geometry |
| url | https://arxiv.org/abs/2602.00967 |