Mazur Intersection Properties for Compact and Weakly Compact Convex Sets
Canadian mathematical bulletin, Tome 41 (1998) no. 2, pp. 225-230
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Various authors have studied when a Banach space can be renormed so that every weakly compact convex, or less restrictively every compact convex set is an intersection of balls. We first observe that each Banach space can be renormed so that every weakly compact convex set is an intersection of balls, and then we introduce and study properties that are slightly stronger than the preceding two properties respectively.
Vanderwerff, Jon. Mazur Intersection Properties for Compact and Weakly Compact Convex Sets. Canadian mathematical bulletin, Tome 41 (1998) no. 2, pp. 225-230. doi: 10.4153/CMB-1998-032-8
@article{10_4153_CMB_1998_032_8,
author = {Vanderwerff, Jon},
title = {Mazur {Intersection} {Properties} for {Compact} and {Weakly} {Compact} {Convex} {Sets}},
journal = {Canadian mathematical bulletin},
pages = {225--230},
year = {1998},
volume = {41},
number = {2},
doi = {10.4153/CMB-1998-032-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-032-8/}
}
TY - JOUR AU - Vanderwerff, Jon TI - Mazur Intersection Properties for Compact and Weakly Compact Convex Sets JO - Canadian mathematical bulletin PY - 1998 SP - 225 EP - 230 VL - 41 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-032-8/ DO - 10.4153/CMB-1998-032-8 ID - 10_4153_CMB_1998_032_8 ER -
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