Article ID Journal Published Year Pages File Type
6419643 Journal of Mathematical Analysis and Applications 2011 8 Pages PDF
Abstract

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.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Uniformly convex subsets of the Hilbert space with modulus of convexity of the second order
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