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Subjects
46-XX Functional analysis
46Bxx Normed linear spaces and Banach spaces; Banach lattices
46B09 Probabilistic methods in Banach space theory

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Majorizing measures and proportional subsets of bounded orthonormal systems..

O. Guédon, S. Mendelson, A. Pajor, N. Tomczak-Jaegermann (2008)

Revista Matemática Iberoamericana

Markov convexity and local rigidity of distorted metrics

Manor Mendel, Assaf Naor (2013)

Journal of the European Mathematical Society

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.

Currently displaying 1 – 2 of 2

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