Search results for " Gateaux differentiability"

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Rademacher Theorem for Fréchet spaces

2010

Abstract Let X be a separable Frechet space. In this paper we define a class A of null sets in X that is properly contained in the class of Aronszajn null sets, and we prove that a Lipschitz map from an open subset of X into a Gelfand-Frechet space is Gateaux differentiable outside a set belonging to A. This is an extension to Frechet spaces of a result (see [PZ]) due to D. Preiss and L. Zajicek.

Discrete mathematicsNull (mathematics)Space (mathematics)Lipschitz continuitySeparable spaceCombinatoricsRademacher's theoremMathematics (miscellaneous)Fréchet spaceSettore MAT/05 - Analisi MatematicaDifferentiable functionMetric differentialMathematicsLipschitz maps Gateaux differentiability Rademacher theorem.
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