Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2403.12890 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866910049809465344 |
|---|---|
| author | Tang, Zhongwen Li, Jin Leng, Gangsong |
| author_facet | Tang, Zhongwen Li, Jin Leng, Gangsong |
| contents | We present a complete classification of $\operatorname{SL}(n)$ contravariant, $C(\mathbb{R}^n\setminus\{o\})$-valued valuations on polytopes, without any additional assumptions.It extends the previous results of the second author [Int. Math. Res. Not. 2020] which have a good connection with the $L_p$ and Orlicz Brunn-Minkowski theory. Additionally, our results deduce a complete classification of $\operatorname{SL}(n)$ contravariant symmetric-tensor-valued valuations on polytopes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_12890 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $\operatorname{SL}(n)$ contravariant function-valued valuations on polytopes Tang, Zhongwen Li, Jin Leng, Gangsong Metric Geometry Functional Analysis 52B45, 52B11, 52A39 We present a complete classification of $\operatorname{SL}(n)$ contravariant, $C(\mathbb{R}^n\setminus\{o\})$-valued valuations on polytopes, without any additional assumptions.It extends the previous results of the second author [Int. Math. Res. Not. 2020] which have a good connection with the $L_p$ and Orlicz Brunn-Minkowski theory. Additionally, our results deduce a complete classification of $\operatorname{SL}(n)$ contravariant symmetric-tensor-valued valuations on polytopes. |
| title | $\operatorname{SL}(n)$ contravariant function-valued valuations on polytopes |
| topic | Metric Geometry Functional Analysis 52B45, 52B11, 52A39 |
| url | https://arxiv.org/abs/2403.12890 |