Metric embeddings of Laakso graphs into Banach spaces

S. J. Dilworth, Denka Kutzarova, Svetozar Stankov

Let $X$ be Banach space which is not super-reflexive. Then, for each $n\ge 1$ and $\epsilon >0$, we exhibit metric embeddings of the Laakso graph ${\mathcal{L}}_n$ into $X$ with dis…