Mazur's intersection property for finite dimensional sets
type: Item
instance of: scholarly article
title: Mazur's intersection property for finite dimensional sets
zbMATH Open document ID: 0642.52002
DOI: 10.1007/BF01457508
author: Abderrazzak Sersouri
published in: Mathematische Annalen
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164500
review text: We study the following quantitative finite dimensional versions of the Mazur intersection property: \((I_ n)\) Every convex compact C with affine dimension at most n is an intersection of balls.
Mathematics Subject Classification ID: 52A20
zbMATH DE Number: 4046527
zbMATH Keywords: Mazur intersection property
zbMATH Keywords: intersection of balls
zbMATH Keywords: convex compact sets
zbMATH Keywords: finite dimension
MaRDI profile type: Publication
cites work: Characterisation of normed linear spaces with Mazur's intersection property
cites work: A Representation Theorem for Bounded Convex Sets
cites work: The Mazur property for compact sets
cites work: Smoothness in spaces of compact operators
cites work: Renorming concerning Mazur's intersection property of balls for weakly compact convex sets
OpenAlex ID: W1972102595
description: scientific article; zbMATH DE number 4046527