RT Journal Article
T1 Intersections of closed balls and geometry of Banach spaces
A1 Suárez Granero, Antonio
A1 Jiménez Sevilla, María Del Mar
A1 Moreno, José Pedro
AB 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.
PB Universidad de Extremadura, Departamento de Matemáticas
SN 0213-8743
YR 2004
FD 2004
LK https://hdl.handle.net/20.500.14352/50737
UL https://hdl.handle.net/20.500.14352/50737
LA eng
DS Docta Complutense
RD 8 abr 2025