%0 Journal Article
%A Suárez Granero, Antonio
%A Jiménez Sevilla, María Del Mar
%A Moreno, José Pedro
%T Intersections of closed balls and geometry of Banach spaces
%D 2004
%@ 0213-8743
%U https://hdl.handle.net/20.500.14352/50737
%X In section 1 we present definitions and basic results concerning the Mazur intersection property (MIP) and some of its related properties as the MIP* . Section 2 is devoted to renorming Banach spaces with MIP and MIP*. Section 3 deals with the connections between MIP, MIP* and differentiability of convex functions. In particular, we will focuss on Asplund and almost Asplund spaces. In Section 4 we discuss the interplay between porosity and MIP. Finally, in section 5 we are concerned with the stability of the (closure of the) sum of convex sets which are intersections of balls andwith Mazur spaces.
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