Analysis Seminar

Title:  Ball Intersection properties  in Banach spaces

Speaker: Speaker:  Sudeshna Basu

Abstract: We know from Hahn Banach Theorem that a point outside a convex set can be separated from the latter by a hyperplane. The  question whether this separation can be done in terms of disjoint balls  continue to interest mathematicians. In this work, we study such Ball intersection properties  which are closely related to the geometric nature of the Banach space.We  certain stability results for these  properties in Banach Spaces leading to a discussion in the context of operator spaces and relate it to Radon Nikodym Properties in Banach spaces.