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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2310.14789 |
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| _version_ | 1866909380078731264 |
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| author | Duquet, Charles |
| author_facet | Duquet, Charles |
| contents | Let $1<p\not=2<\infty$ and let $S^p_n$ be the associated Schatten von Neumann class over $n\times n$ matrices. We prove new characterizations of unital positive Schur multipliers $S^p_n\to S^p_n$ which can be dilated into an invertible complete isometry acting on a non-commutative $L^p$-space. Then we investigate the infinite dimensional case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_14789 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Unital positive Schur multipliers on $S_n^p$ with a completely isometric dilation Duquet, Charles Functional Analysis Let $1<p\not=2<\infty$ and let $S^p_n$ be the associated Schatten von Neumann class over $n\times n$ matrices. We prove new characterizations of unital positive Schur multipliers $S^p_n\to S^p_n$ which can be dilated into an invertible complete isometry acting on a non-commutative $L^p$-space. Then we investigate the infinite dimensional case. |
| title | Unital positive Schur multipliers on $S_n^p$ with a completely isometric dilation |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2310.14789 |