35 citations · 77 across the 7 of their papers we have counts for
Showing 2011Show all
2 papers · 1 filter
math.GN2011
On Pliś metric on the space of strictly convex compacta
Maxim V. Balashov, Dušan Repovš
We consider a certain metric on the space of all convex compacta in , introduced by A. Pliś. The set of strictly convex compacta is a complete metric subspace of the metric…
math.FA2011★ 20 cited
Uniformly convex subsets of the Hilbert space with modulus of convexity of the second order
Maxim V. Balashov, Dušan Repovš
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 obta…