Uniformly convex subsets of the Hilbert space with modulus of convexity of the second order

Details Uniformly convex subsets of the Hilbert space with modulus of convexity of the second order Uniformly convex subsets of the Hilbert space with modulus of convexity of the second order

2011-01-29

arxiv.org/abs/1101.5685v1

J. Math. Anal. Appl. 377:2 (2011), 754-761

Mathematics

Functional Analysis

Scientific paper

10.1016/j.jmaa.2010.11.046

We prove that in the Hilbert space every uniformly convex set with modulus of
convexity of the second order at zero is an intersection of closed balls of
fixed radius. We also obtain an estimate of this radius.

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