论文标题
$ \ varepsilon $ -dvoretzky猜想的弱版本
A weak version of the $\varepsilon$-Dvoretzky conjecture for normed spaces
论文作者
论文摘要
We prove a weak version of the $\varepsilon$-Dvoretzky conjecture for normed spaces, showing the existence of a subspace of $\mathbb{R}^n$ of dimension at least $c \log n / |\log \varepsilon|$ in which the given norm is $\varepsilon$-close to a norm obeying a large discrete group of symmetries （“ $ 1 $ - 条件规范”）。
We prove a weak version of the $\varepsilon$-Dvoretzky conjecture for normed spaces, showing the existence of a subspace of $\mathbb{R}^n$ of dimension at least $c \log n / |\log \varepsilon|$ in which the given norm is $\varepsilon$-close to a norm obeying a large discrete group of symmetries ("$1$-unconditional norm").
