Geodesic
Markov convexity and local rigidity of distorted metrics
Journal of the European Mathematical Society, Tome 15 (2013) no. 1, pp. 287-337

Voir la notice de l'article provenant de la source EMS Press

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.
DOI : 10.4171/jems/362
Classification : 46-XX, 05-XX, 51-XX, 00-XX
Keywords: Uniform convexity, Markov convexity, local regidity, tree metrics 
@article{JEMS_2013_15_1_a8,
     author = {Manor Mendel and Assaf Naor},
     title = {Markov convexity and local rigidity of distorted metrics},
     journal = {Journal of the European Mathematical Society},
     pages = {287--337},
     publisher = {mathdoc},
     volume = {15},
     number = {1},
     year = {2013},
     doi = {10.4171/jems/362},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/362/}
}
TY  - JOUR
AU  - Manor Mendel
AU  - Assaf Naor
TI  - Markov convexity and local rigidity of distorted metrics
JO  - Journal of the European Mathematical Society
PY  - 2013
SP  - 287
EP  - 337
VL  - 15
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/362/
DO  - 10.4171/jems/362
ID  - JEMS_2013_15_1_a8
ER  - 
%0 Journal Article
%A Manor Mendel
%A Assaf Naor
%T Markov convexity and local rigidity of distorted metrics
%J Journal of the European Mathematical Society
%D 2013
%P 287-337
%V 15
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/362/
%R 10.4171/jems/362
%F JEMS_2013_15_1_a8
Manor Mendel; Assaf Naor. Markov convexity and local rigidity of distorted metrics. Journal of the European Mathematical Society, Tome 15 (2013) no. 1, pp. 287-337. doi: 10.4171/jems/362

Cité par Sources :