Generic Fréchet differentiability of convex functions dominated by a lower semicontinuous convex function

DOI10.1006/jmaa.1998.6021zbMath0937.46039OpenAlexW2046465245MaRDI QIDQ1270674

Shuzhong Shi, Bingwu Wang, Li Xing Cheng, Lee, E. Stanley

Publication date: 29 November 1998

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

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6021

zbMATH Keywords

Radon-Nikodým propertyAsplund spacegeneric Fréchet differentiabilitylower semi-continuous convex functions

Mathematics Subject Classification ID

Compactness in Banach (or normed) spaces (46B50) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (4)

Smooth approximation of convex functions in Banach spaces ⋮ Differentiability and ball-covering property in Banach spaces ⋮ Approximation of convex functions on the dual of Banach spaces ⋮ Gâteaux differentiability of convex functions and weak dentable set in nonseparable Banach spaces

Cites Work

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• Differentiability of Lipschitz functions on Banach spaces
• Convex functions, monotone operators and differentiability
• Banach spaces which are Asplund spaces
• The duality between Asplund spaces and spaces with the Radon-Nikodym property
• Lipschitz functions on Banach spaces which are actually defined on Asplund spaces
• Geometric aspects of convex sets with the Radon-Nikodym property
• Fréchet differentiability of convex functions
• A proof that every Banach space is subreflexive
• Separable determination of Fréchet differentiability of convex functions
• On the Subdifferentiability of Convex Functions

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