Renorming concerning Mazur's intersection property of balls for weakly compact convex sets

DOI10.1007/BF01450924zbMath0587.46007MaRDI QIDQ1072049

Václav Zizler

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/164183

zbMATH Keywords

intersection of ballsweakly compact convex setweakly compactly generated Banach spaceMazur's intersection property

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Convex sets in topological linear spaces; Choquet theory (46A55) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (10)

Mazur's intersection property for finite dimensional sets ⋮ Renorming Banach spaces with many projections and smoothness properties ⋮ Differentiability of convex functions and the convex point of continuity property in Banach spaces ⋮ Asplund spaces and decomposable nonseparable Banach spaces ⋮ On the weak\(^*\) Mazur intersection property and Fréchet differentiable norms on dense open sets ⋮ The generalised (uniform) Mazur Intersection Property ⋮ Renorming Banach spaces with the 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

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• Weak local supportability and applications to approximation
• Geometry of Banach spaces. Selected topics
• A Representation Theorem for Bounded Convex Sets
• Un Théorème de Transfert Pour la Propriété des Boules
• Mazur's intersection property of balls for compact convex sets
• Characterisation of normed linear spaces with Mazur's intersection property
• Local Uniform Convexity of Day's Norm on c 0 (Γ)
• On Weakly Compact Subsets of Banach Spaces
• On locally uniformly convex and differentiable norms in certain non-separable Banach spaces

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