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
Pages
8
From page
754
To page
761
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
Serial Year
2011
Journal title
Journal of Mathematical Analysis and Applications
Record number
1561691
Link To Document