The Uniform Mazur

Jadav Ganesh

Abstract

We have in a Banach Space with the Mazur's Intersection Property (MIP), given any closed bounded convex set and a point outside it there is a closed ball which seperates them. The uniform version of the MIP called the UMIP says, the radius of such a ball would depend only on the diameter of a given set and the distance of the point to that set. In this talk we will discuss an interesting dual characterization of the UMIP.