Abstract
The main result is a metrical characterization of superreflexivity in Banach spaces. A Banach spaceX is not superreflexive if and only ifX contains hyperbolic trees as a metric space. The notion of non-linear cotype in discussed.
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Bourgain, J. The metrical interpretation of superreflexivity in banach spaces. Israel J. Math. 56, 222–230 (1986). https://doi.org/10.1007/BF02766125
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DOI: https://doi.org/10.1007/BF02766125