This is an announcement for the paper "Upper bound for isometric embeddings \ell_2^m\to\ell_p^n" by Yuri I. Lyubich.

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 Pe{\l}czy{'n}ski (1998) in a different way.

Archive classification: math.FA

Mathematics Subject Classification: 46B04

Remarks: 5 pages

The source file(s), upbound.bbl: 1810 bytes

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