Intersection properties of polyhedral norms

DOI10.1515/ADVGEOM.2007.025zbMath1130.52003MaRDI QIDQ5421653

Rolf Schneider, José Pedro Moreno

Publication date: 24 October 2007

Published in: advg (Search for Journal in Brave)

zbMATH Keywords

polyhedral normMazur spaceMazur setball stabilityIntersections of balls

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (4)

Ball convex bodies in Minkowski spaces ⋮ Diametrically complete sets in Minkowski spaces ⋮ Some geometry of convex bodies in \(C(K)\) spaces ⋮ Unnamed Item

Cites Work

• Convex sets which are intersections of closed balls
• Continuity properties of the ball hull mapping
• Minkowski addition of \(H\)-convex sets and related Helly-type theorems.
• A Representation Theorem for Bounded Convex Sets
• Diametrically Maximal and Constant Width Sets in Banach Spaces
• Semicontinuous functions and convex sets inC(K)spaces
• Characterisation of normed linear spaces with Mazur's intersection property
• A note on porosity and the Mazur intersection property
• The Lines and Planes Connecting the Points of a Finite Set

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