Smallness of sets of nondifferentiability of convex functions in non-separable Banach spaces

DOI10.21136/cmj.1991.102462zbMath0768.58005OpenAlexW2602460360MaRDI QIDQ3982192

Luděk Zajíček

Publication date: 26 June 1992

Full work available at URL: https://eudml.org/doc/13927

zbMATH Keywords

maximal monotone operator\(\sigma\)-porous setAsplund spacecone-small sets

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (5)

Infinite games and \(\sigma\)-porosity ⋮ Porosity and differentiability in smooth Banach spaces ⋮ Small sets in best approximation theory ⋮ Products of non-σ-lower porous sets ⋮ Unnamed Item

Cites Work

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• Porosity and \(\sigma\)-porosity
• Convex functions, monotone operators and differentiability
• Frechet Differentiation of Convex Functions in a Banach Space with a Separable Dual
• Differentiability of Lipschitzian mappings between Banach spaces

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