Generic Fréchet differentiability of convex functions on non-Asplund spaces

DOI10.1006/jmaa.1997.5570zbMath0905.46029OpenAlexW2055341019MaRDI QIDQ1380356

Shuzhong Shi, Li-Xin Chen, Lee, E. Stanley

Publication date: 3 February 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5570

zbMATH Keywords

Radon-Nikodým propertyAsplund spaceimage of the subdifferential map

Mathematics Subject Classification ID

Radon-Nikodým, Kre?n-Milman and related properties (46B22) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items

Smooth approximation of convex functions in Banach spaces ⋮ Approximation and Gâteaux differentiability of convex function in Banach spaces ⋮ Analytic characterizations of Mazur's intersection property via convex functions ⋮ Restricted weak upper semi-continuity of subdifferentials of convex functions on Banach spaces ⋮ Approximation of convex functions on the dual of Banach spaces ⋮ On statistical measure theory ⋮ Measure of non-Radon-Nikodym property and differentiability of convex functions on Banach spaces ⋮ Gâteaux differentiability of convex functions and weak dentable set in nonseparable Banach spaces

Cites Work

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• Convex functions, monotone operators and differentiability
• Banach spaces which are Asplund spaces
• Geometric aspects of convex sets with the Radon-Nikodym property
• Fréchet differentiability of convex functions
• Separable determination of Fréchet differentiability of convex functions