Title of article :
Uniformly convex subsets of the Hilbert space with modulus of convexity of the second order
Author/Authors :
Balashov، نويسنده , , Maxim V. and Repov?، نويسنده , , Du?an، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2011
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 :
Uniform convexity , Set-Valued Mapping , Supporting function , Hilbert space , generating set , Strongly convex set of radius R , Modulus of convexity
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications
