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arXiv · 1705.06811

Isometric embeddings of a class of separable metric spaces into Banach spaces

S. K . Mercourakis·G. Vassiliadis
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Abstract

Let $(M,d)$ be a bounded countable metric space and $c>0$ a constant, such that $d(x,y)+d(y,z)-d(x,z) \ge c$, for any pairwise distinct points $x,y,z$ of $M$. For such metric spaces we prove that they can be isometrically embedded into any Banach space containing an isomorphic copy of $\ell_\infty$.

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S. K . Mercourakis, G. Vassiliadis. 2017-05-18. Isometric embeddings of a class of separable metric spaces into Banach spaces. https://arxiv.org/abs/1705.06811

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