An almost nowhere Fréchet smooth norm on superreflexive spaces

DOI10.4064/sm-133-1-93-99zbMath0923.46016OpenAlexW918779579MaRDI QIDQ4238035

Eva Matoušková

Publication date: 15 October 1999

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/216606

zbMATH Keywords

convex functionFréchet differentiableequivalent normLipschitz functionsparsenessGateaux differentiabilitysuperreflexive spaceAronszajn nullsuperrefexive Banach space

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Derivatives of functions in infinite-dimensional spaces (46G05) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (8)

Typical martingale diverges at a typical point ⋮ On the size of the set of points where the metric projection exists ⋮ A criterion of \varGamma -nullness and differentiability of convex and quasiconvex functions ⋮ Haar null and Haar meager sets: a survey and new results ⋮ On the uniform convexity and uniform smoothness of infinite-order Sobolev spaces ⋮ Geometry of norms and inequalities in superreflexive Banach spaces ⋮ Directional derivatives of Lipschitz functions ⋮ Banach spaces of fractal functions and trajectories of Brownian motions

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