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arXiv · 0712.0214

Upper bound for isometric embeddings \ell_2^m\to\ell_p^n

Yuri I. Lyubich
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Abstract

The 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.

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BibTeXRIS

Yuri I. Lyubich. 2007-12-03. Upper bound for isometric embeddings \ell_2^m\to\ell_p^n. https://arxiv.org/abs/0712.0214

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