Upper bound for isometric embeddings ell 2^m oell p^n - Mathematics > Functional Analysis

Abstract: The isometric embeddings $\ell {2;K}^m\to\ell {p;K}^n$ $m\geq 2$, $p\in2\N$ over a field $K\in{R, C, H}$ are considered, and an upper bound for theminimal $n$ is proved. In the commutative case $K eq H$ the bound wasobtained by Delbaen, Jarchow and Pe{\l}czy{\-n}ski 1998 in a different way.

Author: Yuri I. Lyubich

Source: https://arxiv.org/