Markov convexity and local rigidity of distorted metrics

Manor Mendel; Assaf Naor

doi:10.4171/JEMS/362

Markov convexity and local rigidity of distorted metrics

Manor Mendel, Assaf Naor

Research output: Contribution to journal › Article › peer-review

27 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 language	English (US)
Pages (from-to)	287-337
Number of pages	51
Journal	Journal of the European Mathematical Society
Volume	15
Issue number	1
DOIs	https://doi.org/10.4171/JEMS/362
State	Published - 2013
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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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.",

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Markov convexity and local rigidity of distorted metrics

Abstract

All Science Journal Classification (ASJC) codes

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