2026-06-21T18:22:49Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/507372024-07-15T13:46:36Zcom_20.500.14352_14col_20.500.14352_15

Intersections of closed balls and geometry of Banach spaces Suárez Granero, Antonio Jiménez Sevilla, María Del Mar Moreno, José Pedro 512 Convex bodies Binary intersection property Mazur sets Mazur spaces Mazur intersection property Polyhedral norms Stonean compact spaces Porosity. Álgebra 1201 Álgebra 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 and with Mazur spaces. Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T10:36:17Z 2023-06-20T10:36:17Z 2004 journal article https://hdl.handle.net/20.500.14352/50737 0213-8743 eng BFM 2003-06420 restricted access application/pdf Universidad de Extremadura, Departamento de Matemáticas