Characterization of normed linear spaces with generalized Mazur intersection property

Yunbai Dong; Qingjin Cheng

Studia Mathematica (2013)

  • Volume: 219, Issue: 3, page 193-200
  • ISSN: 0039-3223

Abstract

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Let 𝓐 be a compatible collection of bounded subsets in a normed linear space. We give a characterization of the following generalized Mazur intersection property: every closed convex set A ∈ 𝓐 is an intersection of balls.

How to cite

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Yunbai Dong, and Qingjin Cheng. "Characterization of normed linear spaces with generalized Mazur intersection property." Studia Mathematica 219.3 (2013): 193-200. <http://eudml.org/doc/285569>.

@article{YunbaiDong2013,
abstract = {Let 𝓐 be a compatible collection of bounded subsets in a normed linear space. We give a characterization of the following generalized Mazur intersection property: every closed convex set A ∈ 𝓐 is an intersection of balls.},
author = {Yunbai Dong, Qingjin Cheng},
journal = {Studia Mathematica},
keywords = {Mazur intersection property; denting point; ball separation},
language = {eng},
number = {3},
pages = {193-200},
title = {Characterization of normed linear spaces with generalized Mazur intersection property},
url = {http://eudml.org/doc/285569},
volume = {219},
year = {2013},
}

TY - JOUR
AU - Yunbai Dong
AU - Qingjin Cheng
TI - Characterization of normed linear spaces with generalized Mazur intersection property
JO - Studia Mathematica
PY - 2013
VL - 219
IS - 3
SP - 193
EP - 200
AB - Let 𝓐 be a compatible collection of bounded subsets in a normed linear space. We give a characterization of the following generalized Mazur intersection property: every closed convex set A ∈ 𝓐 is an intersection of balls.
LA - eng
KW - Mazur intersection property; denting point; ball separation
UR - http://eudml.org/doc/285569
ER -

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