Mazur's intersection property for finite dimensional sets

DOI10.1007/BF01457508zbMath0642.52002OpenAlexW1972102595MaRDI QIDQ1101684

Abderrazzak Sersouri

Publication date: 1989

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164500

zbMATH Keywords

finite dimensionMazur intersection propertyintersection of ballsconvex compact sets

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (4)

The generalised (uniform) Mazur Intersection Property ⋮ Ball-covering property of Banach spaces that is not preserved under linear isomorphisms ⋮ Every Banach space with a \(w^{*}\)-separable dual has a \(1+\varepsilon\)-equivalent norm with the ball covering property ⋮ Ball separation properties in Banach spaces

Cites Work

• Renorming concerning Mazur's intersection property of balls for weakly compact convex sets
• The Mazur property for compact sets
• A Representation Theorem for Bounded Convex Sets
• Smoothness in spaces of compact operators
• Characterisation of normed linear spaces with Mazur's intersection property

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