Second order differentiability and Lipschitz smooth points of convex functionals

DOI10.1023/A:1022423203193zbMath0956.58002OpenAlexW1540612079MaRDI QIDQ4515326

Eva Matoušková, Luděk Zajíček

Publication date: 13 November 2000

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/30442

zbMATH Keywords

Hilbert spaceconvex functionAronszajn null setHaar null setLipschitz smoothnesssecond order differentiability

Mathematics Subject Classification ID

Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (5)

Second derivatives of convex functions in the sense of A.\ D.\ Aleksandrov on infinite-dimensional spaces with measure ⋮ Second order derivative of a functional associated to an optimal transport map ⋮ Haar null and Haar meager sets: a survey and new results ⋮ Some analogies between Haar meager sets and Haar null sets in abelian Polish groups ⋮ On subadditive functions bounded above on a ``large set

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• Second Order Differentiability of Convex Functions in Banach Spaces
• Examples of non-shy sets
• A characterization of reflexive Banach spaces

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