Linear independence of quantum translates
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909908100710400 |
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| author | Mishra, Mansi |
| author_facet | Mishra, Mansi |
| contents | If $A$ is in the $p$-Schatten class on $\mathbb{R}^n$, $1\leq p \leq \frac{4n}{2n-1}$, then the quantum translates of $A$ are linearly independent. Moreover, there exists a non-zero operator in the $p$-Schatten class on $\mathbb{R}^n$, $p>\frac{4n}{2n-1}$ whose quantum translates are linearly dependent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_13179 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Linear independence of quantum translates Mishra, Mansi Classical Analysis and ODEs If $A$ is in the $p$-Schatten class on $\mathbb{R}^n$, $1\leq p \leq \frac{4n}{2n-1}$, then the quantum translates of $A$ are linearly independent. Moreover, there exists a non-zero operator in the $p$-Schatten class on $\mathbb{R}^n$, $p>\frac{4n}{2n-1}$ whose quantum translates are linearly dependent. |
| title | Linear independence of quantum translates |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2511.13179 |