Maximal sections of the unit ball of $l^n_p(\mathbb{C})$ for $p > 2$
| Autor: | Jakimiuk, Jacek, König, Hermann |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | Eskenazis, Nayar and Tkocz have shown recently some resilience of Ball's celebrated cube slicing theorem, namely its analogue in $l^n_p$ for large $p$. We show that the complex analogue, i.e. resilience of the polydisc slicing theorem proven by Oleszkiewicz and Pelczy\'nski, holds for large $p$ and small $n$, but does not hold for any $p > 2$ and large $n$. |
| Databáze: | arXiv |
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