Universidad Complutense de Madrid
E-Prints Complutense

Intersections of closed balls and geometry of Banach spaces

Impacto

Downloads

Downloads per month over past year



Granero, A. S. and Jiménez Sevilla, María del Mar and Moreno, José Pedro (2004) Intersections of closed balls and geometry of Banach spaces. Extracta Mathematicae, 19 (1). pp. 55-92. ISSN 0213-8743

[thumbnail of Jimenez13.pdf] PDF
Restringido a Repository staff only

347kB

Official URL: http://www.eweb.unex.es/eweb/extracta/




Abstract

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.


Item Type:Article
Uncontrolled Keywords:Convex bodies, Binary intersection property, Mazur sets, Mazur spaces, Mazur intersection property, Polyhedral norms, Stonean compact spaces, Porosity.
Subjects:Sciences > Mathematics > Algebra
ID Code:22087
Deposited On:26 Jun 2013 17:52
Last Modified:21 Jun 2018 10:55

Origin of downloads

Repository Staff Only: item control page