Markov convexity and local rigidity of distorted metrics

Manor Mendel, Assaf Naor

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)287-337
Number of pages51
JournalJournal of the European Mathematical Society
Volume15
Issue number1
DOIs
StatePublished - 2013

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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