Editing Open Problems:25
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==Update== | ==Update== | ||
− | It has been shown {{cite|AndoniKR-14}} that for '''normed spaces''' the above implication is true: if | + | It has been shown {{cite|AndoniKR-14}} that for '''normed spaces''' the above implication is true: if a normed space does not embed into $\ell_2^2$ (in fact, more generally, does not ''uniformly embed'' into a Hilbert space), then, there is a non-trivial communication lower bound for distinguishing small and large distances. |