6533b7d9fe1ef96bd126cdeb

RESEARCH PRODUCT

Rademacher Theorem for Fréchet spaces

Caterina La Russa

subject

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

description

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.

yearjournalcountryeditionlanguage
2010-11-30
http://hdl.handle.net/10447/51607