A note on porosity and the Mazur intersection property

DOI10.1112/S0025579300015874zbMath1016.46016OpenAlexW2127955341MaRDI QIDQ4786407

Mar Jiménez-Sevilla, José Pedro Moreno

Publication date: 15 December 2002

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300015874

zbMATH Keywords

porosityMazur intersection propertyporous sets

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Related Items

Convex sets which are intersections of closed balls, Porosity and unique completion in strictly convex spaces, Porosity and diametrically maximal sets in \(C(K)\), Ball-covering property of Banach spaces that is not preserved under linear isomorphisms, Intersection properties of polyhedral norms, Porosity and diametrical completeness, Every Banach space with a \(w^{*}\)-separable dual has a \(1+\varepsilon\)-equivalent norm with the ball covering property

Cites Work

• Renorming Banach spaces with the Mazur intersection property
• Ball separation properties in Banach spaces
• Porous Sets in Best Approximation Theory
• Characterisation of normed linear spaces with Mazur's intersection property
• Mazur Intersection Properties and Differentiability of Convex Functions in Banach Spaces
• Porosity of ill-posed problems