On the differentiation of convex functions in finite and infinite dimensional spaces

DOI10.21136/cmj.1979.101616zbMath0429.46007OpenAlexW2485990915MaRDI QIDQ3866640

Luděk Zajíček

Publication date: 1979

Full work available at URL: https://eudml.org/doc/13140

zbMATH Keywords

singular boundary pointsGateaux differentiation(c-c)- hypersurfaceLipschitz convex functionssingular points of convex bodysingularities of convex functions

Mathematics Subject Classification ID

Convexity of real functions of several variables, generalizations (26B25) Convex sets in topological linear spaces; Choquet theory (46A55) Derivatives of functions in infinite-dimensional spaces (46G05) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

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Cites Work

• Contrôle dans les inéquations variationelles elliptiques
• Sur une généralisation des surfaces convexes
• Convex functions and upper semi-continuous collections
• On topological, Lipschitz and uniform classification of LF-spaces
• Differentiability of Lipschitzian mappings between Banach spaces
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