Self-Dual Cone Systems and Tensor Products
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917748886470656 |
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| author | Netzer, Tim |
| author_facet | Netzer, Tim |
| contents | We prove the existence of self-dual tensor products for finite-dimensional convex cones and operator systems. This is a consequence of a more general result: Every cone system, which is contained in its dual, can be enlarged to a self-dual cone system. Using the setup of cone systems, we further describe how all functorial tensor products of finite-dimensional cones and operator systems explicitly arise from the minimal and maximal tensor product. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_07389 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Self-Dual Cone Systems and Tensor Products Netzer, Tim Functional Analysis Operator Algebras We prove the existence of self-dual tensor products for finite-dimensional convex cones and operator systems. This is a consequence of a more general result: Every cone system, which is contained in its dual, can be enlarged to a self-dual cone system. Using the setup of cone systems, we further describe how all functorial tensor products of finite-dimensional cones and operator systems explicitly arise from the minimal and maximal tensor product. |
| title | Self-Dual Cone Systems and Tensor Products |
| topic | Functional Analysis Operator Algebras |
| url | https://arxiv.org/abs/2408.07389 |