On the structure of Banach spaces with Mazur's intersection property

DOI10.1007/BF01445220zbMath0726.46008OpenAlexW2059926230MaRDI QIDQ803874

Kenderov, Petar S., John R. Giles

Publication date: 1991

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

Full work available at URL: https://eudml.org/doc/164879

zbMATH Keywords

duality mapping\(weak^ *\) continuous subgradientBanach spaces where every bounded closed convex set is the intersection of closed ballsdenting pointdual space where every bounded \(weak^ *\) closed convex set is the intersection of dual ballspoints of Fréchet differentiability of the normstrongly exposed points of the unit ball

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (7)

On the weak\(^*\) Mazur intersection property and Fréchet differentiable norms on dense open sets ⋮ DUAL DIFFERENTIATION SPACES ⋮ Renorming Banach spaces with the Mazur intersection property ⋮ A dual differentiation space without an equivalent locally uniformly rotund norm ⋮ Norm continuity of weakly continuous mappings into Banach spaces ⋮ Residuality in the set of norm attaining operators between Banach spaces ⋮ The implications for differentiability of a weak index of non-compactness

Cites Work

• Convex functions, monotone operators and differentiability
• Geometry of Banach spaces. Selected topics
• Banach spaces which are Asplund spaces
• The dual of a space with the Radon-Nikodym property
• Weak\(^*\) support points of convex sets in \(E^*\)
• A renorming of dual spaces
• A Representation Theorem for Bounded Convex Sets
• A proof that every Banach space is subreflexive
• Characterisation of normed linear spaces with Mazur's intersection property
• Local Uniform Convexity of Day's Norm on c 0 (Γ)
• On locally uniformly convex and differentiable norms in certain non-separable Banach spaces
• A Banach space with support homeomorphism is reflexive

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