Optimal Embeddings of Constant-Dimensional Subspaces of $L^p$ into ${\ell }_p^N$

Yi Li

For $d\ge 2$, $p\ge 1$ and $\epsilon >0$, let $N_p(d,\epsilon )$ be the smallest integer $N$ such that every $d$-dimensional subspace of $L^p[0,1]$ admits a linear embedding into ${\ell }_p^N$ w…