Journal of convex analysis, Tome 12 (2005) no. 1, pp. 159-172
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J. Wenzel. Strong Martingale Type and Uniform Smoothness. Journal of convex analysis, Tome 12 (2005) no. 1, pp. 159-172. http://geodesic.mathdoc.fr/item/JCA_2005_12_1_JCA_2005_12_1_a10/
@article{JCA_2005_12_1_JCA_2005_12_1_a10,
author = {J. Wenzel},
title = {Strong {Martingale} {Type} and {Uniform} {Smoothness}},
journal = {Journal of convex analysis},
pages = {159--172},
year = {2005},
volume = {12},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JCA_2005_12_1_JCA_2005_12_1_a10/}
}
TY - JOUR
AU - J. Wenzel
TI - Strong Martingale Type and Uniform Smoothness
JO - Journal of convex analysis
PY - 2005
SP - 159
EP - 172
VL - 12
IS - 1
UR - http://geodesic.mathdoc.fr/item/JCA_2005_12_1_JCA_2005_12_1_a10/
ID - JCA_2005_12_1_JCA_2005_12_1_a10
ER -
%0 Journal Article
%A J. Wenzel
%T Strong Martingale Type and Uniform Smoothness
%J Journal of convex analysis
%D 2005
%P 159-172
%V 12
%N 1
%U http://geodesic.mathdoc.fr/item/JCA_2005_12_1_JCA_2005_12_1_a10/
%F JCA_2005_12_1_JCA_2005_12_1_a10
We introduce stronger versions of the usual notions of martingale type p ≤ 2 and cotype q ≥ 2 of a Banach space X and show that these concepts are equivalent to uniform p-smoothness and q-convexity, respectively. All these are metric concepts, so they depend on the particular norm in X.
