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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.07143 |
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| _version_ | 1866915055963996160 |
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| author | Zeng, Chunna Lan, Yu |
| author_facet | Zeng, Chunna Lan, Yu |
| contents | All continuous, SL(n) covariant valuations on Orlicz spaces are completely classified without any symmetric assumptions. It is shown that the moment matrix is the only such valuation if n\geq3, while a new functional shows up in dimension two. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_07143 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | SL(n) covariant matrix-valued valuations on Orlicz spaces Zeng, Chunna Lan, Yu Differential Geometry Functional Analysis All continuous, SL(n) covariant valuations on Orlicz spaces are completely classified without any symmetric assumptions. It is shown that the moment matrix is the only such valuation if n\geq3, while a new functional shows up in dimension two. |
| title | SL(n) covariant matrix-valued valuations on Orlicz spaces |
| topic | Differential Geometry Functional Analysis |
| url | https://arxiv.org/abs/2412.07143 |