A remark on non-commutative $L^p$-spaces
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916314386268160 |
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| author | Kato, Shinya Ueda, Yoshimichi |
| author_facet | Kato, Shinya Ueda, Yoshimichi |
| contents | We explicitly describe the Haagerup and the Kosaki non-commutative $L^p$-spaces associated with a tensor product von Neumann algebra $M_1\bar{\otimes}M_2$ in terms of those associated with $M_i$ and usual tensor products of unbounded operators. The descriptions are then shown to be useful in the quantum information theory based on operator algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_01790 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A remark on non-commutative $L^p$-spaces Kato, Shinya Ueda, Yoshimichi Operator Algebras Mathematical Physics We explicitly describe the Haagerup and the Kosaki non-commutative $L^p$-spaces associated with a tensor product von Neumann algebra $M_1\bar{\otimes}M_2$ in terms of those associated with $M_i$ and usual tensor products of unbounded operators. The descriptions are then shown to be useful in the quantum information theory based on operator algebras. |
| title | A remark on non-commutative $L^p$-spaces |
| topic | Operator Algebras Mathematical Physics |
| url | https://arxiv.org/abs/2307.01790 |