Isometric Imbedding of Some Metric Spaces in l<sub class="a-plus-plus">p</sub>-Spaces

Abstract

We present a generalization of a result of Fichet, who proved in 1988 that every ulltrametric space consisting of n points is imbedded isometrically in \(l_p^{n - 1} ,p \geqslant 1\) .