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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.
On the modulus of smoothness and divergent series in Banach spaces
J. Lindenstrauss · 1963
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Uniformly non-square Banach spaces
R. C. James · 1964
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Banach spaces which can be given an equivalent uniformly convex norm
P. Enflo · 1972
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Some self-dual properties of normed linear spaces
R. C. James · 1972
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Sur les espaces de Banach qui ne contiennent pas uniformément de l n 1 l^{1}_{n}
G. Pisier · 1973
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Martingales with values in uniformly convex spaces
G. Pisier · 1975
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Séries de variables aléatoires vectorielles indépendantes et propriétés géométriques des espaces de Banach
B. Maurey and G. Pisier · 1976
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On uniformly homeomorphic normed spaces
M. Ribe · 1976
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The metrical interpretation of superreflexivity in Banach spaces
J. Bourgain · 1986
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On type of metric spaces
J. Bourgain, V. Milman, and H. Wolfson · 1986
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Probabilistic methods in the geometry of Banach spaces
G. Pisier · 1986
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Markov chains, Riesz transforms and Lipschitz maps
K. Ball · 1992
Cited alongside, same era.
Ramsey-like properties for bi-Lipschitz mappings of finite metric spaces
J. Matoušek · 1992
Cited alongside, same era.
Sharp uniform convexity and smoothness inequalities for trace norms
K. Ball, E. A. Carlen, and E. H. Lieb · 1994
Cited alongside, same era.
M. Mendel · 1994
Cited alongside, same era.
The distortion problem
E. Odell and T. Schlumprecht · 1994
Cited alongside, same era.
Affine approximation of Lipschitz functions and nonlinear quotients
S. Bates, W. B. Johnson, J. Lindenstrauss, D. Preiss, and G. Schechtman · 1999
Cited alongside, same era.
Remarks on non linear type and Pisier’s inequality
A. Naor and G. Schechtman · 2002
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A lower bound on the distortion of embedding planar metrics into Euclidean space
I. Newman and Y. Rabinovich · 2003
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Embedding the diamond graph in L p L_{p} and dimension reduction in L 1 L_{1}
J. R. Lee and A. Naor · 2004
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Metric structures in L 1 L_{1} : dimension, snowflakes, and average distortion
J. R. Lee, M. Mendel, and A. Naor · 2005
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Metric structures for Riemannian and non-Riemannian spaces
M. Gromov · 2007
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Scaled Enflo type is equivalent to Rademacher type
M. Mendel and A. Naor · 2007
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On embedding trees into uniformly convex Banach spaces
J. Matoušek · 1999
Cited alongside, same era.
Geometric nonlinear functional analysis. Vol. 1
Y. Benyamini and J. Lindenstrauss · 2000
Cited alongside, same era.
Bilipschitz embeddings of metric spaces into space forms
U. Lang and C. Plaut · 2001
Cited alongside, same era.
Plane with A ∞ A_{\infty} -weighted metric not bi-Lipschitz embeddable to ℝ N {\mathbb{R}}^{N}
T. J. Laakso · 2002
Cited alongside, same era.
Markov convexity and local rigidity of distorted metrics [extended abstract]
M. Mendel and A. Naor · 2008
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Metric cotype
M. Mendel and A. Naor · 2008
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Diamond graphs and super-reflexivity
W. B. Johnson and G. Schechtman · 2009
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J. R. Lee, A. Naor, and Y. Peres · 2009
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