Markov convexity and local rigidity of distorted metrics

作者:Mendel Manor*; Naor Assaf
来源:Journal of the European Mathematical Society, 2013, 15(1): 287-337.
DOI:10.4171/JEMS/362

摘要

It is shown that a Banach space admits an equivalent norm whose modulus of uniform convexity has power-type p if and only if it is Markov p-convex. Counterexamples are constructed to natural questions related to isomorphic uniform convexity of metric spaces, showing in particular that tree metrics fail to have the dichotomy property.

  • 出版日期2013