Upper bound for isometric embeddings \ell_2^m\to\ell

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/143392The isometric embeddings $\ell_{2;K}^m\to\ell_{p;K}^n$ ($m\geq 2$, $p\in 2\N$) over a field $K\in{R, C, H}$ are considered, and an upper bound for the minimal $n$ is proved. In the commutative case ($K\neq H$) the bound was obtained by Delbaen, Jarchow and Pełczy{ń}ski (1998) in a different way.5 pagesFunctional Analysis46B04Upper bound for isometric embeddings \ell_2^m\to\ell_p^ntext