On the weak\(^*\) Mazur intersection property and Fréchet differentiable norms on dense open sets

DOI10.1016/S0007-4497(98)80079-1zbMath0914.46010MaRDI QIDQ1384230

José Pedro Moreno

Publication date: 6 June 1999

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

zbMATH Keywords

equivalent normsFréchet differentiable normfundamental biorthogonal systemweak* Mazur intersection property

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Nonseparable Banach spaces (46B26)

Related Items

Geometry of Banach spaces with \((\alpha,\epsilon)\)-property or \((\beta,\epsilon)\)-property ⋮ Renorming Banach spaces with the Mazur intersection property ⋮ On exposed faces and smoothness

Cites Work

• On a property of the norm which is close to locally uniform rotundity
• On the structure of Banach spaces with Mazur's intersection property
• Renorming concerning Mazur's intersection property of balls for weakly compact convex sets
• Geometry of Banach spaces with \((\alpha,\epsilon)\)-property or \((\beta,\epsilon)\)-property
• A Representation Theorem for Bounded Convex Sets
• Mazur's Intersection Property and a Krein-Milman Type Theorem for Almost All Closed, Convex and Bounded Subsets of a Banach Space
• A Counterexample to Several Questions about Scattered Compact Spaces
• No Infinite Dimensional P Space Admits a Markuschevich Basis
• On locally uniformly convex and differentiable norms in certain non-separable Banach spaces
• Differentiable Functions and Rough Norms on Banach Spaces
• On the existence of fundamental and total founded biorthogonal systems in Banach spaces
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