Differentiability of convex functions and the convex point of continuity property in Banach spaces

DOI10.1007/BF02787266zbMath0654.46021MaRDI QIDQ1108539

D. E. G. Hare, Václav Zizler, Gilles Godefroy, Robert Deville

Publication date: 1987

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Radon-Nikodym propertycontinuous convex Gateaux differentiable functionFréchet differentiable on a dense setPhelps spaceweak*- convex point-of-continuity property

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (3)

Separable determination of Fréchet differentiability of convex functions ⋮ An extension of a structure theorem of Bourgain ⋮ Antiproximinal norms in Banach spaces

Cites Work

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• Renorming concerning Mazur's intersection property of balls for weakly compact convex sets
• On the structure of non-dentable closed bounded convex sets
• Geometry of Banach spaces. Selected topics
• Banach spaces which are Asplund spaces
• The dual of a space with the Radon-Nikodym property
• Topological properties of Banach spaces
• Geometric aspects of convex sets with the Radon-Nikodym property
• Concerning dentability
• A Representation Theorem for Bounded Convex Sets
• The Radon-Nikodym Property and the Krein-Milman Property are Equivalent for Strongly Regular Sets
• A Counterexample to a Problem on Points of Continuity in Banach Spaces
• Dentability and finite-dimensional decompositions
• Examples of separable spaces which do not contain $l_{1}$ and whose duals are non-separable
• Über schwache Konvergenz in den Raümen ($L^{p}$)
• The Geometry of Banach Spaces. Smoothness
• Geometrical Implications of Certain Infinite Dimensional Decompositions

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