Characterization of normed linear spaces with
generalized Mazur intersection property
Studia Mathematica, Tome 219 (2013) no. 3, pp. 193-200
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
Let $\mathcal {A}$ 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 $A\in \mathcal {A}$ is an intersection of balls.
Keywords:
mathcal compatible collection bounded subsets normed linear space characterization following generalized mazur intersection property every closed convex set mathcal intersection balls
Affiliations des auteurs :
Yunbai Dong 1 ; Qingjin Cheng 2
@article{10_4064_sm219_3_1,
author = {Yunbai Dong and Qingjin Cheng},
title = {Characterization of normed linear spaces with
generalized {Mazur} intersection property},
journal = {Studia Mathematica},
pages = {193--200},
publisher = {mathdoc},
volume = {219},
number = {3},
year = {2013},
doi = {10.4064/sm219-3-1},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm219-3-1/}
}
TY - JOUR AU - Yunbai Dong AU - Qingjin Cheng TI - Characterization of normed linear spaces with generalized Mazur intersection property JO - Studia Mathematica PY - 2013 SP - 193 EP - 200 VL - 219 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm219-3-1/ DO - 10.4064/sm219-3-1 LA - en ID - 10_4064_sm219_3_1 ER -
%0 Journal Article %A Yunbai Dong %A Qingjin Cheng %T Characterization of normed linear spaces with generalized Mazur intersection property %J Studia Mathematica %D 2013 %P 193-200 %V 219 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/sm219-3-1/ %R 10.4064/sm219-3-1 %G en %F 10_4064_sm219_3_1
Yunbai Dong; Qingjin Cheng. Characterization of normed linear spaces with generalized Mazur intersection property. Studia Mathematica, Tome 219 (2013) no. 3, pp. 193-200. doi: 10.4064/sm219-3-1
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