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
![]() |
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